77401408 has 56 divisors (see below), whose sum is σ = 185879232. Its totient is φ = 31217664.

The previous prime is 77401367. The next prime is 77401427. The reversal of 77401408 is 80410477.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 77401408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2535 + ... + 12697.

It is an arithmetic number, because the mean of its divisors is an integer number (3319272).

Almost surely, 2^77401408 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 77401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92939616).

77401408 is an abundant number, since it is smaller than the sum of its proper divisors (108477824).

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

77401408 is a wasteful number, since it uses less digits than its factorization.

77401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 77401408 is about 8797.8069994744. The cubic root of 77401408 is about 426.1700776359.

The spelling of 77401408 in words is "seventy-seven million, four hundred one thousand, four hundred eight".