90079776 has 120 divisors (see below), whose sum is σ = 276623424. Its totient is φ = 28702080.

The previous prime is 90079751. The next prime is 90079789. The reversal of 90079776 is 67797009.

It is a super-3 number, since 3×90079776³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58861 + ... + 60371.

Almost surely, 2^90079776 is an apocalyptic number.

90079776 is a gapful number since it is divisible by the number (96) 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 90079776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138311712).

90079776 is an abundant number, since it is smaller than the sum of its proper divisors (186543648).

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

90079776 is a wasteful number, since it uses less digits than its factorization.

90079776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 90079776 is about 9491.0366135633. The cubic root of 90079776 is about 448.2728461243.

The spelling of 90079776 in words is "ninety million, seventy-nine thousand, seven hundred seventy-six".