90770800 has 60 divisors (see below), whose sum is σ = 219684600. Its totient is φ = 36040960.

The previous prime is 90770789. The next prime is 90770819. The reversal of 90770800 is 807709.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58839 + ... + 60361.

It is an arithmetic number, because the mean of its divisors is an integer number (3661410).

Almost surely, 2^90770800 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 90770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109842300).

90770800 is an abundant number, since it is smaller than the sum of its proper divisors (128913800).

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

90770800 is a wasteful number, since it uses less digits than its factorization.

90770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 90770800 is about 9527.3710959530. The cubic root of 90770800 is about 449.4161976708.

The spelling of 90770800 in words is "ninety million, seven hundred seventy thousand, eight hundred".