77270656 has 64 divisors (see below), whose sum is σ = 160221600. Its totient is φ = 37094400.

The previous prime is 77270629. The next prime is 77270657. The reversal of 77270656 is 65607277.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77270657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555835 + ... + 555973.

Almost surely, 2^77270656 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 77270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80110800).

77270656 is an abundant number, since it is smaller than the sum of its proper divisors (82950944).

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

77270656 is a wasteful number, since it uses less digits than its factorization.

77270656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 77270656 is about 8790.3729158665. The cubic root of 77270656 is about 425.9299700471.

The spelling of 77270656 in words is "seventy-seven million, two hundred seventy thousand, six hundred fifty-six".