77090880 has 112 divisors (see below), whose sum is σ = 247034304. Its totient is φ = 20367360.

The previous prime is 77090863. The next prime is 77090891. The reversal of 77090880 is 8809077.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125454 + ... + 126066.

Almost surely, 2^77090880 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 77090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123517152).

77090880 is an abundant number, since it is smaller than the sum of its proper divisors (169943424).

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

77090880 is a wasteful number, since it uses less digits than its factorization.

77090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 77090880 is about 8780.1412289325. The cubic root of 77090880 is about 425.5993941612.

The spelling of 77090880 in words is "seventy-seven million, ninety thousand, eight hundred eighty".