77090496 has 112 divisors (see below), whose sum is σ = 238963200. Its totient is φ = 21473280.

The previous prime is 77090473. The next prime is 77090501. The reversal of 77090496 is 69409077.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 54405 + ... + 55803.

It is an arithmetic number, because the mean of its divisors is an integer number (2133600).

Almost surely, 2^77090496 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 77090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119481600).

77090496 is an abundant number, since it is smaller than the sum of its proper divisors (161872704).

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

77090496 is a wasteful number, since it uses less digits than its factorization.

77090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 77090496 is about 8780.1193613754. The cubic root of 77090496 is about 425.5986875042.

The spelling of 77090496 in words is "seventy-seven million, ninety thousand, four hundred ninety-six".