769982304 has 192 divisors, whose sum is σ = 2536095744. Its totient is φ = 199120896.

The previous prime is 769982263. The next prime is 769982327. The reversal of 769982304 is 403289967.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462177 + ... + 463839.

It is an arithmetic number, because the mean of its divisors is an integer number (13208832).

Almost surely, 2^769982304 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 769982304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268047872).

769982304 is an abundant number, since it is smaller than the sum of its proper divisors (1766113440).

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

769982304 is a wasteful number, since it uses less digits than its factorization.

769982304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 769982304 is about 27748.5549894044. The cubic root of 769982304 is about 916.5586239309.

The spelling of 769982304 in words is "seven hundred sixty-nine million, nine hundred eighty-two thousand, three hundred four".