77506560 has 216 divisors, whose sum is σ = 278206110. Its totient is φ = 19955712.

The previous prime is 77506501. The next prime is 77506571. The reversal of 77506560 is 6560577.

It can be written as a sum of positive squares in 3 ways, for example, as 63489024 + 14017536 = 7968^2 + 3744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2672626 + ... + 2672654.

Almost surely, 2^77506560 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 77506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139103055).

77506560 is an abundant number, since it is smaller than the sum of its proper divisors (200699550).

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

77506560 is a wasteful number, since it uses less digits than its factorization.

77506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 77506560 is about 8803.7810059088. The cubic root of 77506560 is about 426.3629783396.

The spelling of 77506560 in words is "seventy-seven million, five hundred six thousand, five hundred sixty".