77694312960 has 1080 divisors, whose sum is σ = 316149413580. Its totient is φ = 17598873600.

The previous prime is 77694312911. The next prime is 77694312967. The reversal of 77694312960 is 6921349677.

It is a happy number.

77694312960 is a `hidden beast` number, since 77 + 69 + 431 + 29 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77426401536 + 267911424 = 278256^2 + 16368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77694312897 and 77694312906.

It is not an unprimeable number, because it can be changed into a prime (77694312967) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2506268145 + ... + 2506268175.

Almost surely, 2^77694312960 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 77694312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158074706790).

77694312960 is an abundant number, since it is smaller than the sum of its proper divisors (238455100620).

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

77694312960 is a wasteful number, since it uses less digits than its factorization.

77694312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 77694312960 in words is "seventy-seven billion, six hundred ninety-four million, three hundred twelve thousand, nine hundred sixty".