77580972 has 72 divisors (see below), whose sum is σ = 231375872. Its totient is φ = 21448800.

The previous prime is 77580947. The next prime is 77580983. The reversal of 77580972 is 27908577.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2847 + ... + 12777.

Almost surely, 2^77580972 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 77580972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115687936).

77580972 is an abundant number, since it is smaller than the sum of its proper divisors (153794900).

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

77580972 is a wasteful number, since it uses less digits than its factorization.

77580972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 77580972 is about 8808.0061307881. The cubic root of 77580972 is about 426.4993813060.

The spelling of 77580972 in words is "seventy-seven million, five hundred eighty thousand, nine hundred seventy-two".