90792300 has 72 divisors (see below), whose sum is σ = 264871936. Its totient is φ = 24010560.

The previous prime is 90792269. The next prime is 90792311. The reversal of 90792300 is 329709.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36909 + ... + 39291.

Almost surely, 2^90792300 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 90792300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132435968).

90792300 is an abundant number, since it is smaller than the sum of its proper divisors (174079636).

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

90792300 is a wasteful number, since it uses less digits than its factorization.

90792300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 90792300 is about 9528.4993571916. The cubic root of 90792300 is about 449.4516778232.

The spelling of 90792300 in words is "ninety million, seven hundred ninety-two thousand, three hundred".