90766000 has 80 divisors (see below), whose sum is σ = 236422368. Its totient is φ = 33504000.

The previous prime is 90765989. The next prime is 90766031. The reversal of 90766000 is 66709.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90766000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24255 + ... + 27745.

Almost surely, 2^90766000 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 90766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118211184).

90766000 is an abundant number, since it is smaller than the sum of its proper divisors (145656368).

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

90766000 is a wasteful number, since it uses less digits than its factorization.

90766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 90766000 is about 9527.1191868266. The cubic root of 90766000 is about 449.4082757555.

The spelling of 90766000 in words is "ninety million, seven hundred sixty-six thousand".