90792900 has 180 divisors, whose sum is σ = 321385680. Its totient is φ = 21988800.

The previous prime is 90792899. The next prime is 90792907. The reversal of 90792900 is 929709.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90792907) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 88591 + ... + 89609.

It is an arithmetic number, because the mean of its divisors is an integer number (1785476).

Almost surely, 2^90792900 is an apocalyptic number.

90792900 is a gapful number since it is divisible by the number (90) 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 90792900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160692840).

90792900 is an abundant number, since it is smaller than the sum of its proper divisors (230592780).

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

90792900 is a wasteful number, since it uses less digits than its factorization.

90792900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 90792900 is about 9528.5308416356. The cubic root of 90792900 is about 449.4526678867.

The spelling of 90792900 in words is "ninety million, seven hundred ninety-two thousand, nine hundred".