77490756 has 108 divisors (see below), whose sum is σ = 236444208. Its totient is φ = 22126608.

The previous prime is 77490739. The next prime is 77490761. The reversal of 77490756 is 65709477.

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46815 + ... + 48441.

Almost surely, 2^77490756 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 77490756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118222104).

77490756 is an abundant number, since it is smaller than the sum of its proper divisors (158953452).

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

77490756 is a wasteful number, since it uses less digits than its factorization.

77490756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 77490756 is about 8802.8833912531. The cubic root of 77490756 is about 426.3339971431. Note that the first 3 decimals are identical.

The spelling of 77490756 in words is "seventy-seven million, four hundred ninety thousand, seven hundred fifty-six".