77090560 has 72 divisors (see below), whose sum is σ = 186167520. Its totient is φ = 30584832.

The previous prime is 77090539. The next prime is 77090579. The reversal of 77090560 is 6509077.

It is a super-2 number, since 2×77090560² = 11885908882227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292989 + ... + 293251.

It is an arithmetic number, because the mean of its divisors is an integer number (2585660).

Almost surely, 2^77090560 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 77090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93083760).

77090560 is an abundant number, since it is smaller than the sum of its proper divisors (109076960).

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

77090560 is a wasteful number, since it uses less digits than its factorization.

77090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 77090560 is about 8780.1230059721. The cubic root of 77090560 is about 425.5988052805.

The spelling of 77090560 in words is "seventy-seven million, ninety thousand, five hundred sixty".