769052016 has 80 divisors (see below), whose sum is σ = 2210929920. Its totient is φ = 255948480.

The previous prime is 769052003. The next prime is 769052041. The reversal of 769052016 is 610250967.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423751 + ... + 425561.

It is an arithmetic number, because the mean of its divisors is an integer number (27636624).

Almost surely, 2^769052016 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 769052016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105464960).

769052016 is an abundant number, since it is smaller than the sum of its proper divisors (1441877904).

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

769052016 is a wasteful number, since it uses less digits than its factorization.

769052016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 769052016 is about 27731.7871043321. The cubic root of 769052016 is about 916.1893482953.

The spelling of 769052016 in words is "seven hundred sixty-nine million, fifty-two thousand, sixteen".