77793408 has 192 divisors, whose sum is σ = 279414720. Its totient is φ = 20183040.

The previous prime is 77793371. The next prime is 77793421. The reversal of 77793408 is 80439777.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88266 + ... + 89142.

It is an arithmetic number, because the mean of its divisors is an integer number (1455285).

Almost surely, 2^77793408 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 77793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139707360).

77793408 is an abundant number, since it is smaller than the sum of its proper divisors (201621312).

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

77793408 is a wasteful number, since it uses less digits than its factorization.

77793408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 77793408 is about 8820.0571426720. The cubic root of 77793408 is about 426.8883136572. Note that the first 3 decimals are identical.

The spelling of 77793408 in words is "seventy-seven million, seven hundred ninety-three thousand, four hundred eight".