90785484880 has 40 divisors (see below), whose sum is σ = 223492505832. Its totient is φ = 34178064384.

The previous prime is 90785484841. The next prime is 90785484883. The reversal of 90785484880 is 8848458709.

It can be written as a sum of positive squares in 4 ways, for example, as 35708905024 + 55076579856 = 188968^2 + 234684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×90785484880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90785484883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33375657 + ... + 33378376.

Almost surely, 2^90785484880 is an apocalyptic number.

It is an amenable number.

90785484880 is an abundant number, since it is smaller than the sum of its proper divisors (132707020952).

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

90785484880 is a wasteful number, since it uses less digits than its factorization.

90785484880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66754063 (or 66754057 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 61.

The spelling of 90785484880 in words is "ninety billion, seven hundred eighty-five million, four hundred eighty-four thousand, eight hundred eighty".