77961913344 has 352 divisors, whose sum is σ = 269286944000. Its totient is φ = 22272122880.

The previous prime is 77961913339. The next prime is 77961913369. The reversal of 77961913344 is 44331916977.

77961913344 is a `hidden beast` number, since 7 + 7 + 9 + 619 + 13 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9479154 + ... + 9487374.

Almost surely, 2^77961913344 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 77961913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134643472000).

77961913344 is an abundant number, since it is smaller than the sum of its proper divisors (191325030656).

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

77961913344 is an equidigital number, since it uses as much as digits as its factorization.

77961913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271 (or 8233 counting only the distinct ones).

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

The spelling of 77961913344 in words is "seventy-seven billion, nine hundred sixty-one million, nine hundred thirteen thousand, three hundred forty-four".