77057076142656 has 63 divisors (see below), whose sum is σ = 220870799549491. Its totient is φ = 25685621821824.

The previous prime is 77057076142601. The next prime is 77057076142661. The reversal of 77057076142656 is 65624167075077.

The square root of 77057076142656 is 8778216.

It is a perfect power (a square), and thus also a powerful number.

77057076142656 is a `hidden beast` number, since 7 + 7 + 0 + 5 + 7 + 0 + 7 + 614 + 2 + 6 + 5 + 6 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77057076142593 and 77057076142602.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 210494305 + ... + 210860063.

Almost surely, 2^{77057076142656} is an apocalyptic number.

77057076142656 is the 8778216-th square number.

It is an amenable number.

77057076142656 is an abundant number, since it is smaller than the sum of its proper divisors (143813723406835).

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

77057076142656 is an frugal number, since it uses more digits than its factorization.

77057076142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731536 (or 365764 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 63.

The spelling of 77057076142656 in words is "seventy-seven trillion, fifty-seven billion, seventy-six million, one hundred forty-two thousand, six hundred fifty-six".