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76797711376 = 2429223892
BaseRepresentation
bin100011110000110000…
…0000001010000010000
321100020011102221211121
41013201200001100100
52224240203231001
655140321252024
75356055530111
oct1074140012020
9240204387747
1076797711376
112a62a340261
1212a73494014
13731b874689
143a07756208
151ee72bc6a1
hex11e1801410

76797711376 has 45 divisors (see below), whose sum is σ = 154167906711. Its totient is φ = 37059238272.

The previous prime is 76797711311. The next prime is 76797711383. The reversal of 76797711376 is 67311779767.

It is a happy number.

The square root of 76797711376 is 277124.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5230760976 + 71566950400 = 72324^2 + 267520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32145190 + ... + 32147578.

Almost surely, 276797711376 is an apocalyptic number.

76797711376 is the 277124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76797711376

76797711376 is an abundant number, since it is smaller than the sum of its proper divisors (77370195335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76797711376 is an frugal number, since it uses more digits than its factorization.

76797711376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 2420 counting only the distinct ones).

The product of its digits is 16336404, while the sum is 61.

The spelling of 76797711376 in words is "seventy-six billion, seven hundred ninety-seven million, seven hundred eleven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 2389 3364 4778 6728 9556 13456 19112 38224 69281 138562 277124 554248 1108496 2009149 4018298 5707321 8036596 11414642 16073192 22829284 32146384 45658568 91317136 165512309 331024618 662049236 1324098472 2648196944 4799856961 9599713922 19199427844 38398855688 76797711376