769016640 has 336 divisors, whose sum is σ = 2954316672. Its totient is φ = 165998592.

The previous prime is 769016627. The next prime is 769016653. The reversal of 769016640 is 46610967.

It is an interprime number because it is at equal distance from previous prime (769016627) and next prime (769016653).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2425762 + ... + 2426078.

Almost surely, 2^769016640 is an apocalyptic number.

769016640 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 769016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477158336).

769016640 is an abundant number, since it is smaller than the sum of its proper divisors (2185300032).

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

769016640 is a wasteful number, since it uses less digits than its factorization.

769016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 769016640 is about 27731.1492729746. The cubic root of 769016640 is about 916.1752999992.

The spelling of 769016640 in words is "seven hundred sixty-nine million, sixteen thousand, six hundred forty".