82701180 has 72 divisors (see below), whose sum is σ = 258969984. Its totient is φ = 21340800.

The previous prime is 82701161. The next prime is 82701181. The reversal of 82701180 is 8110728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82701181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1831 + ... + 12990.

Almost surely, 2^82701180 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 82701180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129484992).

82701180 is an abundant number, since it is smaller than the sum of its proper divisors (176268804).

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

82701180 is a wasteful number, since it uses less digits than its factorization.

82701180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14867 (or 14862 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 82701180 is about 9094.0189135497. The cubic root of 82701180 is about 435.6829541464.

The spelling of 82701180 in words is "eighty-two million, seven hundred one thousand, one hundred eighty".