80806572 has 240 divisors, whose sum is σ = 273208320. Its totient is φ = 20217600.

The previous prime is 80806549. The next prime is 80806633. The reversal of 80806572 is 27560808.

80806572 is a `hidden beast` number, since 8 + 0 + 80 + 6 + 572 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1022829 + ... + 1022907.

It is an arithmetic number, because the mean of its divisors is an integer number (1138368).

Almost surely, 2^80806572 is an apocalyptic number.

80806572 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80806572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136604160).

80806572 is an abundant number, since it is smaller than the sum of its proper divisors (192401748).

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

80806572 is a wasteful number, since it uses less digits than its factorization.

80806572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 80806572 is about 8989.2475769666. The cubic root of 80806572 is about 432.3301873808.

The spelling of 80806572 in words is "eighty million, eight hundred six thousand, five hundred seventy-two".