77600468264 has 96 divisors (see below), whose sum is σ = 168161502600. Its totient is φ = 33497587200.

The previous prime is 77600468263. The next prime is 77600468291. The reversal of 77600468264 is 46286400677.

It can be written as a sum of positive squares in 4 ways, for example, as 41762192164 + 35838276100 = 204358^2 + 189310^2 .

It is not an unprimeable number, because it can be changed into a prime (77600468263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689734 + ... + 1735050.

Almost surely, 2^77600468264 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 77600468264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84080751300).

77600468264 is an abundant number, since it is smaller than the sum of its proper divisors (90561034336).

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

77600468264 is a wasteful number, since it uses less digits than its factorization.

77600468264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45435 (or 45420 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

The spelling of 77600468264 in words is "seventy-seven billion, six hundred million, four hundred sixty-eight thousand, two hundred sixty-four".