77736960000 has 840 divisors, whose sum is σ = 322027655664. Its totient is φ = 17694720000.

The previous prime is 77736959953. The next prime is 77736960017. The reversal of 77736960000 is 6963777.

77736960000 is a `hidden beast` number, since 7 + 7 + 7 + 36 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 322559880 + ... + 322560120.

Almost surely, 2^77736960000 is an apocalyptic number.

77736960000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77736960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161013827832).

77736960000 is an abundant number, since it is smaller than the sum of its proper divisors (244290695664).

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

77736960000 is an equidigital number, since it uses as much as digits as its factorization.

77736960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 77736960000 in words is "seventy-seven billion, seven hundred thirty-six million, nine hundred sixty thousand".