83090080 has 48 divisors (see below), whose sum is σ = 196850304. Its totient is φ = 33143040.

The previous prime is 83090057. The next prime is 83090081. The reversal of 83090080 is 8009038.

It is a super-2 number, since 2×83090080² = 13807922788812800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83090081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100549 + ... + 101371.

It is an arithmetic number, because the mean of its divisors is an integer number (4101048).

Almost surely, 2^83090080 is an apocalyptic number.

83090080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83090080 is an abundant number, since it is smaller than the sum of its proper divisors (113760224).

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

83090080 is a wasteful number, since it uses less digits than its factorization.

83090080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 83090080 is about 9115.3760207684. The cubic root of 83090080 is about 436.3648154429.

The spelling of 83090080 in words is "eighty-three million, ninety thousand, eighty".