77755023360 has 1024 divisors, whose sum is σ = 330170572800. Its totient is φ = 17199267840.

The previous prime is 77755023341. The next prime is 77755023377. The reversal of 77755023360 is 6332055777.

77755023360 is a `hidden beast` number, since 7 + 7 + 7 + 550 + 2 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508226545 + ... + 2508226575.

It is an arithmetic number, because the mean of its divisors is an integer number (322432200).

Almost surely, 2^77755023360 is an apocalyptic number.

77755023360 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 77755023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165085286400).

77755023360 is an abundant number, since it is smaller than the sum of its proper divisors (252415549440).

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

77755023360 is an frugal number, since it uses more digits than its factorization.

77755023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 77755023360 in words is "seventy-seven billion, seven hundred fifty-five million, twenty-three thousand, three hundred sixty".