77404768 has 96 divisors (see below), whose sum is σ = 183472128. Its totient is φ = 31449600.

The previous prime is 77404759. The next prime is 77404771. The reversal of 77404768 is 86740477.

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, 492946 + ... + 493102.

It is an arithmetic number, because the mean of its divisors is an integer number (1911168).

Almost surely, 2^77404768 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 77404768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91736064).

77404768 is an abundant number, since it is smaller than the sum of its proper divisors (106067360).

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

77404768 is a wasteful number, since it uses less digits than its factorization.

77404768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 43.

The square root of 77404768 is about 8797.9979540802. The cubic root of 77404768 is about 426.1762442366.

The spelling of 77404768 in words is "seventy-seven million, four hundred four thousand, seven hundred sixty-eight".