77161056 has 96 divisors (see below), whose sum is σ = 233049600. Its totient is φ = 21897216.

The previous prime is 77161039. The next prime is 77161061. The reversal of 77161056 is 65016177.

77161056 = T₄₁₃ + T₄₁₄ + ... + T₈₁₀.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133440 + ... + 134016.

It is an arithmetic number, because the mean of its divisors is an integer number (2427600).

Almost surely, 2^77161056 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 77161056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116524800).

77161056 is an abundant number, since it is smaller than the sum of its proper divisors (155888544).

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

77161056 is a wasteful number, since it uses less digits than its factorization.

77161056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 77161056 is about 8784.1366109596. The cubic root of 77161056 is about 425.7284963544.

The spelling of 77161056 in words is "seventy-seven million, one hundred sixty-one thousand, fifty-six".