90770930400 has 144 divisors (see below), whose sum is σ = 296003804544. Its totient is φ = 24160980480.

The previous prime is 90770930359. The next prime is 90770930431. The reversal of 90770930400 is 403907709.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1278229 + ... + 1347371.

It is an arithmetic number, because the mean of its divisors is an integer number (2055581976).

Almost surely, 2^90770930400 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 90770930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148001902272).

90770930400 is an abundant number, since it is smaller than the sum of its proper divisors (205232874144).

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

90770930400 is a wasteful number, since it uses less digits than its factorization.

90770930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69713 (or 69700 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The spelling of 90770930400 in words is "ninety billion, seven hundred seventy million, nine hundred thirty thousand, four hundred".