77904112960 has 112 divisors (see below), whose sum is σ = 196881055056. Its totient is φ = 29259988992.

The previous prime is 77904112927. The next prime is 77904112961. The reversal of 77904112960 is 6921140977.

It can be written as a sum of positive squares in 8 ways, for example, as 1966390336 + 75937722624 = 44344^2 + 275568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77904112960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77904112961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338984 + ... + 2372056.

It is an arithmetic number, because the mean of its divisors is an integer number (1757866563).

Almost surely, 2^77904112960 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 77904112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98440527528).

77904112960 is an abundant number, since it is smaller than the sum of its proper divisors (118976942096).

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

77904112960 is a wasteful number, since it uses less digits than its factorization.

77904112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33540 (or 33530 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 77904112960 in words is "seventy-seven billion, nine hundred four million, one hundred twelve thousand, nine hundred sixty".