77904318456 has 128 divisors (see below), whose sum is σ = 229469414400. Its totient is φ = 24404405760.

The previous prime is 77904318433. The next prime is 77904318467. The reversal of 77904318456 is 65481340977.

77904318456 is a `hidden beast` number, since 77 + 90 + 4 + 31 + 8 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2522001 + ... + 2552703.

It is an arithmetic number, because the mean of its divisors is an integer number (1792729800).

Almost surely, 2^77904318456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77904318456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114734707200).

77904318456 is an abundant number, since it is smaller than the sum of its proper divisors (151565095944).

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

77904318456 is a wasteful number, since it uses less digits than its factorization.

77904318456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31426 (or 31416 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 77904318456 in words is "seventy-seven billion, nine hundred four million, three hundred eighteen thousand, four hundred fifty-six".