90777600 has 216 divisors, whose sum is σ = 326756430. Its totient is φ = 24084480.

The previous prime is 90777593. The next prime is 90777647. The reversal of 90777600 is 677709.

It can be written as a sum of positive squares in 3 ways, for example, as 86713344 + 4064256 = 9312^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460702 + ... + 460898.

Almost surely, 2^90777600 is an apocalyptic number.

90777600 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 90777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163378215).

90777600 is an abundant number, since it is smaller than the sum of its proper divisors (235978830).

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

90777600 is a wasteful number, since it uses less digits than its factorization.

90777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 90777600 is about 9527.7279558140. The cubic root of 90777600 is about 449.4274199061.

The spelling of 90777600 in words is "ninety million, seven hundred seventy-seven thousand, six hundred".