765338976 has 144 divisors (see below), whose sum is σ = 2286431280. Its totient is φ = 249062400.

The previous prime is 765338927. The next prime is 765338993. The reversal of 765338976 is 679833567.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1908376 + ... + 1908776.

It is an arithmetic number, because the mean of its divisors is an integer number (15877995).

Almost surely, 2^765338976 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 765338976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143215640).

765338976 is an abundant number, since it is smaller than the sum of its proper divisors (1521092304).

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

765338976 is a wasteful number, since it uses less digits than its factorization.

765338976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 453 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 765338976 is about 27664.7605447797. The cubic root of 765338976 is about 914.7124923090.

The spelling of 765338976 in words is "seven hundred sixty-five million, three hundred thirty-eight thousand, nine hundred seventy-six".