90767876820 has 96 divisors (see below), whose sum is σ = 262621365888. Its totient is φ = 23406008832.

The previous prime is 90767876819. The next prime is 90767876827. The reversal of 90767876820 is 2867876709.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90767876827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236442 + ... + 487278.

It is an arithmetic number, because the mean of its divisors is an integer number (2735639228).

Almost surely, 2^90767876820 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 90767876820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131310682944).

90767876820 is an abundant number, since it is smaller than the sum of its proper divisors (171853489068).

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

90767876820 is a wasteful number, since it uses less digits than its factorization.

90767876820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251049 (or 251047 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 90767876820 in words is "ninety billion, seven hundred sixty-seven million, eight hundred seventy-six thousand, eight hundred twenty".