77490864 has 160 divisors (see below), whose sum is σ = 253555200. Its totient is φ = 22429440.

The previous prime is 77490821. The next prime is 77490869. The reversal of 77490864 is 46809477.

It is not an unprimeable number, because it can be changed into a prime (77490869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108942 + ... + 109650.

It is an arithmetic number, because the mean of its divisors is an integer number (1584720).

Almost surely, 2^77490864 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 77490864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126777600).

77490864 is an abundant number, since it is smaller than the sum of its proper divisors (176064336).

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

77490864 is a wasteful number, since it uses less digits than its factorization.

77490864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 77490864 is about 8802.8895256046. The cubic root of 77490864 is about 426.3341952056.

The spelling of 77490864 in words is "seventy-seven million, four hundred ninety thousand, eight hundred sixty-four".