80757000 has 160 divisors (see below), whose sum is σ = 282573720. Its totient is φ = 21513600.

The previous prime is 80756999. The next prime is 80757013. The reversal of 80757000 is 75708.

It can be written as a sum of positive squares in 4 ways, for example, as 39463524 + 41293476 = 6282^2 + 6426^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80502 + ... + 81498.

Almost surely, 2^80757000 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 80757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141286860).

80757000 is an abundant number, since it is smaller than the sum of its proper divisors (201816720).

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

80757000 is a wasteful number, since it uses less digits than its factorization.

80757000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 80757000 is about 8986.4898597840. The cubic root of 80757000 is about 432.2417628237.

The spelling of 80757000 in words is "eighty million, seven hundred fifty-seven thousand".