80971700 has 36 divisors (see below), whose sum is σ = 177470412. Its totient is φ = 32064000.

The previous prime is 80971687. The next prime is 80971727. The reversal of 80971700 is 717908.

It can be written as a sum of positive squares in 6 ways, for example, as 2896804 + 78074896 = 1702^2 + 8836^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6092 + ... + 14108.

Almost surely, 2^80971700 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 80971700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88735206).

80971700 is an abundant number, since it is smaller than the sum of its proper divisors (96498712).

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

80971700 is a wasteful number, since it uses less digits than its factorization.

80971700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8132 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The square root of 80971700 is about 8998.4276404270. The cubic root of 80971700 is about 432.6244755154.

The spelling of 80971700 in words is "eighty million, nine hundred seventy-one thousand, seven hundred".