77049007056 has 320 divisors, whose sum is σ = 256343592960. Its totient is φ = 21703334400.

The previous prime is 77049007051. The next prime is 77049007111. The reversal of 77049007056 is 65070094077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77049007051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105981765 + ... + 105982491.

It is an arithmetic number, because the mean of its divisors is an integer number (801073728).

Almost surely, 2^77049007056 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 77049007056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128171796480).

77049007056 is an abundant number, since it is smaller than the sum of its proper divisors (179294585904).

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

77049007056 is a wasteful number, since it uses less digits than its factorization.

77049007056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 77049007056 in words is "seventy-seven billion, forty-nine million, seven thousand, fifty-six".