90200768980 has 36 divisors (see below), whose sum is σ = 220347595188. Its totient is φ = 30925977600.

The previous prime is 90200768951. The next prime is 90200768981. The reversal of 90200768980 is 8986700209.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14651649936 + 75549119044 = 121044^2 + 274862^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90200768981) 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, 46019821 + ... + 46021780.

It is an arithmetic number, because the mean of its divisors is an integer number (6120766533).

Almost surely, 2^90200768980 is an apocalyptic number.

It is an amenable number.

90200768980 is an abundant number, since it is smaller than the sum of its proper divisors (130146826208).

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

90200768980 is a wasteful number, since it uses less digits than its factorization.

90200768980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92041624 (or 92041615 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 90200768980 in words is "ninety billion, two hundred million, seven hundred sixty-eight thousand, nine hundred eighty".