80787564 has 96 divisors (see below), whose sum is σ = 246113280. Its totient is φ = 22593600.

The previous prime is 80787521. The next prime is 80787571. The reversal of 80787564 is 46578708.

80787564 is a `hidden beast` number, since 8 + 0 + 7 + 87 + 564 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12829 + ... + 18059.

It is an arithmetic number, because the mean of its divisors is an integer number (2563680).

Almost surely, 2^80787564 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 80787564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123056640).

80787564 is an abundant number, since it is smaller than the sum of its proper divisors (165325716).

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

80787564 is a wasteful number, since it uses less digits than its factorization.

80787564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 80787564 is about 8988.1902516580. The cubic root of 80787564 is about 432.2962859442.

Subtracting from 80787564 its reverse (46578708), we obtain a triangular number (34208856 = T₈₂₇₁).

The spelling of 80787564 in words is "eighty million, seven hundred eighty-seven thousand, five hundred sixty-four".