77988057056 has 384 divisors, whose sum is σ = 209227898880. Its totient is φ = 27736473600.

The previous prime is 77988057023. The next prime is 77988057083. The reversal of 77988057056 is 65075088977.

It is a super-2 number, since 2×77988057056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 77988057056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136581251 + ... + 136581821.

It is an arithmetic number, because the mean of its divisors is an integer number (544864320).

Almost surely, 2^77988057056 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 77988057056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613949440).

77988057056 is an abundant number, since it is smaller than the sum of its proper divisors (131239841824).

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

77988057056 is a wasteful number, since it uses less digits than its factorization.

77988057056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 62.

The spelling of 77988057056 in words is "seventy-seven billion, nine hundred eighty-eight million, fifty-seven thousand, fifty-six".