Search a number
-
+
76939257780 = 22365711193607
BaseRepresentation
bin100011110100111101…
…1111110011110110100
321100121000210021000000
41013221323332132310
52230032422222110
655202335151300
75362424620620
oct1075173763664
9240530707000
1076939257780
112a6a2229160
1212ab2975530
137341ca3848
143a1c480180
15200492c1c0
hex11e9efe7b4

76939257780 has 672 divisors, whose sum is σ = 318007388160. Its totient is φ = 15141738240.

The previous prime is 76939257767. The next prime is 76939257809. The reversal of 76939257780 is 8775293967.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 21328737 + ... + 21332343.

It is an arithmetic number, because the mean of its divisors is an integer number (473225280).

Almost surely, 276939257780 is an apocalyptic number.

76939257780 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76939257780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159003694080).

76939257780 is an abundant number, since it is smaller than the sum of its proper divisors (241068130380).

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

76939257780 is a wasteful number, since it uses less digits than its factorization.

76939257780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 76939257780 in words is "seventy-six billion, nine hundred thirty-nine million, two hundred fifty-seven thousand, seven hundred eighty".