77492966400 has 396 divisors, whose sum is σ = 279160034400. Its totient is φ = 20538408960.

The previous prime is 77492966381. The next prime is 77492966437. The reversal of 77492966400 is 466929477.

It is a happy number.

77492966400 is a `hidden beast` number, since 7 + 7 + 492 + 96 + 64 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41240661 + ... + 41242539.

Almost surely, 2^77492966400 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 77492966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139580017200).

77492966400 is an abundant number, since it is smaller than the sum of its proper divisors (201667068000).

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

77492966400 is a wasteful number, since it uses less digits than its factorization.

77492966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 77492966400 in words is "seventy-seven billion, four hundred ninety-two million, nine hundred sixty-six thousand, four hundred".