77296560 has 320 divisors, whose sum is σ = 291409920. Its totient is φ = 16727040.

The previous prime is 77296559. The next prime is 77296567. The reversal of 77296560 is 6569277.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (77296567) 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, 1153647 + ... + 1153713.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 2^77296560 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 77296560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).

77296560 is an abundant number, since it is smaller than the sum of its proper divisors (214113360).

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

77296560 is a wasteful number, since it uses less digits than its factorization.

77296560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 77296560 is about 8791.8462224950. The cubic root of 77296560 is about 425.9775605893.

The spelling of 77296560 in words is "seventy-seven million, two hundred ninety-six thousand, five hundred sixty".