765879408 has 240 divisors, whose sum is σ = 2590563360. Its totient is φ = 215986176.

The previous prime is 765879383. The next prime is 765879409. The reversal of 765879408 is 804978567.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765879409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053110 + ... + 2053482.

It is an arithmetic number, because the mean of its divisors is an integer number (10794014).

Almost surely, 2^765879408 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 765879408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295281680).

765879408 is an abundant number, since it is smaller than the sum of its proper divisors (1824683952).

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

765879408 is a wasteful number, since it uses less digits than its factorization.

765879408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 765879408 is about 27674.5263374100. The cubic root of 765879408 is about 914.9277448990.

The spelling of 765879408 in words is "seven hundred sixty-five million, eight hundred seventy-nine thousand, four hundred eight".