90792080 has 60 divisors (see below), whose sum is σ = 217212660. Its totient is φ = 35292672.

The previous prime is 90792077. The next prime is 90792083. The reversal of 90792080 is 8029709.

It is an interprime number because it is at equal distance from previous prime (90792077) and next prime (90792083).

It can be written as a sum of positive squares in 6 ways, for example, as 15241216 + 75550864 = 3904^2 + 8692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90792080.

It is not an unprimeable number, because it can be changed into a prime (90792083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109106 + ... + 109934.

It is an arithmetic number, because the mean of its divisors is an integer number (3620211).

Almost surely, 2^90792080 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 90792080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108606330).

90792080 is an abundant number, since it is smaller than the sum of its proper divisors (126420580).

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

90792080 is a wasteful number, since it uses less digits than its factorization.

90792080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 90792080 is about 9528.4878128694. The cubic root of 90792080 is about 449.4513147989.

The spelling of 90792080 in words is "ninety million, seven hundred ninety-two thousand, eighty".