77496744 has 128 divisors (see below), whose sum is σ = 232848000. Its totient is φ = 21233664.

The previous prime is 77496739. The next prime is 77496751. The reversal of 77496744 is 44769477.

It is a junction number, because it is equal to n+sod(n) for n = 77496693 and 77496702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100392 + ... + 101160.

It is an arithmetic number, because the mean of its divisors is an integer number (1819125).

Almost surely, 2^77496744 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 77496744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424000).

77496744 is an abundant number, since it is smaller than the sum of its proper divisors (155351256).

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

77496744 is a wasteful number, since it uses less digits than its factorization.

77496744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 77496744 is about 8803.2235005139. The cubic root of 77496744 is about 426.3449783334.

The spelling of 77496744 in words is "seventy-seven million, four hundred ninety-six thousand, seven hundred forty-four".