77334480 has 80 divisors (see below), whose sum is σ = 266381760. Its totient is φ = 20621952.

The previous prime is 77334469. The next prime is 77334493. The reversal of 77334480 is 8443377.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15742 + ... + 20061.

It is an arithmetic number, because the mean of its divisors is an integer number (3329772).

Almost surely, 2^77334480 is an apocalyptic number.

It is an amenable number.

77334480 is an abundant number, since it is smaller than the sum of its proper divisors (189047280).

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

77334480 is a wasteful number, since it uses less digits than its factorization.

77334480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35825 (or 35813 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 77334480 is about 8794.0025017054. The cubic root of 77334480 is about 426.0472076230.

It can be divided in two parts, 773 and 34480, that added together give a palindrome (35253).

The spelling of 77334480 in words is "seventy-seven million, three hundred thirty-four thousand, four hundred eighty".