77707468800 has 1344 divisors, whose sum is σ = 327639029760. Its totient is φ = 17907056640.

The previous prime is 77707468799. The next prime is 77707468819. The reversal of 77707468800 is 886470777.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 1653350377 + ... + 1653350423.

It is an arithmetic number, because the mean of its divisors is an integer number (243779040).

Almost surely, 2^77707468800 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 77707468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163819514880).

77707468800 is an abundant number, since it is smaller than the sum of its proper divisors (249931560960).

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

77707468800 is a wasteful number, since it uses less digits than its factorization.

77707468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 77707468800 in words is "seventy-seven billion, seven hundred seven million, four hundred sixty-eight thousand, eight hundred".