82991790 has 288 divisors, whose sum is σ = 282338784. Its totient is φ = 17418240.

The previous prime is 82991789. The next prime is 82991803. The reversal of 82991790 is 9719928.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2024170 + ... + 2024210.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 2^82991790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82991790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

82991790 is an abundant number, since it is smaller than the sum of its proper divisors (199346994).

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

82991790 is a wasteful number, since it uses less digits than its factorization.

82991790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 82991790 is about 9109.9829857141. The cubic root of 82991790 is about 436.1926841009.

The spelling of 82991790 in words is "eighty-two million, nine hundred ninety-one thousand, seven hundred ninety".