90779904 has 162 divisors, whose sum is σ = 277052958. Its totient is φ = 28569600.

The previous prime is 90779903. The next prime is 90779933. The reversal of 90779904 is 40997709.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 35426304 = 7440^2 + 5952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90779904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90779903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2214124 + ... + 2214164.

Almost surely, 2^90779904 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 90779904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138526479).

90779904 is an abundant number, since it is smaller than the sum of its proper divisors (186273054).

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

90779904 is a wasteful number, since it uses less digits than its factorization.

90779904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 90779904 is about 9527.8488653001. The cubic root of 90779904 is about 449.4312221364.

It can be divided in two parts, 9077 and 9904, that added together give a palindrome (18981).

The spelling of 90779904 in words is "ninety million, seven hundred seventy-nine thousand, nine hundred four".