90977800320 has 1024 divisors, whose sum is σ = 375777792000. Its totient is φ = 20827238400.

The previous prime is 90977800273. The next prime is 90977800349. The reversal of 90977800320 is 2300877909.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292532965 + ... + 292533275.

It is an arithmetic number, because the mean of its divisors is an integer number (366970500).

Almost surely, 2^90977800320 is an apocalyptic number.

90977800320 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 90977800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187888896000).

90977800320 is an abundant number, since it is smaller than the sum of its proper divisors (284799991680).

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

90977800320 is a wasteful number, since it uses less digits than its factorization.

90977800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 90977800320 in words is "ninety billion, nine hundred seventy-seven million, eight hundred thousand, three hundred twenty".