90793080 has 144 divisors (see below), whose sum is σ = 343320120. Its totient is φ = 20748672.

The previous prime is 90793061. The next prime is 90793091. The reversal of 90793080 is 8039709.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15067 + ... + 20213.

Almost surely, 2^90793080 is an apocalyptic number.

90793080 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 90793080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171660060).

90793080 is an abundant number, since it is smaller than the sum of its proper divisors (252527040).

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

90793080 is a wasteful number, since it uses less digits than its factorization.

90793080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90793080 is about 9528.5402869485. The cubic root of 90793080 is about 449.4529649049.

It can be divided in two parts, 90 and 793080, that added together give a triangular number (793170 = T₁₂₅₉).

The spelling of 90793080 in words is "ninety million, seven hundred ninety-three thousand, eighty".