769882320 has 280 divisors, whose sum is σ = 2755094496. Its totient is φ = 199874304.

The previous prime is 769882259. The next prime is 769882411. The reversal of 769882320 is 23288967.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2507607 + ... + 2507913.

Almost surely, 2^769882320 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 769882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377547248).

769882320 is an abundant number, since it is smaller than the sum of its proper divisors (1985212176).

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

769882320 is a wasteful number, since it uses less digits than its factorization.

769882320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 769882320 is about 27746.7533235872. The cubic root of 769882320 is about 916.5189497878.

The spelling of 769882320 in words is "seven hundred sixty-nine million, eight hundred eighty-two thousand, three hundred twenty".