77930640000 has 640 divisors, whose sum is σ = 290925624000. Its totient is φ = 20528640000.

The previous prime is 77930639987. The next prime is 77930640017. The reversal of 77930640000 is 4603977.

77930640000 is a `hidden beast` number, since 7 + 7 + 9 + 3 + 0 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 235439835 + ... + 235440165.

Almost surely, 2^77930640000 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 77930640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145462812000).

77930640000 is an abundant number, since it is smaller than the sum of its proper divisors (212994984000).

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

77930640000 is a wasteful number, since it uses less digits than its factorization.

77930640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 77930640000 in words is "seventy-seven billion, nine hundred thirty million, six hundred forty thousand".