83090880 has 224 divisors, whose sum is σ = 299923200. Its totient is φ = 21648384.

The previous prime is 83090873. The next prime is 83090923. The reversal of 83090880 is 8809038.

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 31 ways as a sum of consecutive naturals, for example, 509679 + ... + 509841.

Almost surely, 2^83090880 is an apocalyptic number.

83090880 is a gapful number since it is divisible by the number (80) 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 83090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149961600).

83090880 is an abundant number, since it is smaller than the sum of its proper divisors (216832320).

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

83090880 is a wasteful number, since it uses less digits than its factorization.

83090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 83090880 is about 9115.4199025607. The cubic root of 83090880 is about 436.3662158938.

The spelling of 83090880 in words is "eighty-three million, ninety thousand, eight hundred eighty".