769399680 has 512 divisors, whose sum is σ = 3102105600. Its totient is φ = 158146560.

The previous prime is 769399669. The next prime is 769399693. The reversal of 769399680 is 86993967.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 769399680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5873215 + ... + 5873345.

It is an arithmetic number, because the mean of its divisors is an integer number (6058800).

Almost surely, 2^769399680 is an apocalyptic number.

769399680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551052800).

769399680 is an abundant number, since it is smaller than the sum of its proper divisors (2332705920).

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

769399680 is a wasteful number, since it uses less digits than its factorization.

769399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The square root of 769399680 is about 27738.0547263142. The cubic root of 769399680 is about 916.3273875352.

The spelling of 769399680 in words is "seven hundred sixty-nine million, three hundred ninety-nine thousand, six hundred eighty".