77748960 has 48 divisors (see below), whose sum is σ = 244910736. Its totient is φ = 20732928.

The previous prime is 77748959. The next prime is 77748967. The reversal of 77748960 is 6984777.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77748967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 80509 + ... + 81468.

It is an arithmetic number, because the mean of its divisors is an integer number (5102307).

Almost surely, 2^77748960 is an apocalyptic number.

It is an amenable number.

77748960 is an abundant number, since it is smaller than the sum of its proper divisors (167161776).

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

77748960 is a wasteful number, since it uses less digits than its factorization.

77748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161995 (or 161987 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 77748960 is about 8817.5370710874. The cubic root of 77748960 is about 426.8069959418.

The spelling of 77748960 in words is "seventy-seven million, seven hundred forty-eight thousand, nine hundred sixty".