769098564 has 240 divisors, whose sum is σ = 2397403008. Its totient is φ = 212585472.

The previous prime is 769098557. The next prime is 769098593. The reversal of 769098564 is 465890967.

769098564 is a `hidden beast` number, since 76 + 9 + 0 + 9 + 8 + 564 = 666.

769098564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×769098564² = 1183025202293724192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 769098564.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1646659 + ... + 1647125.

Almost surely, 2^769098564 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 769098564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198701504).

769098564 is an abundant number, since it is smaller than the sum of its proper divisors (1628304444).

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

769098564 is a wasteful number, since it uses less digits than its factorization.

769098564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 769098564 is about 27732.6263451553. The cubic root of 769098564 is about 916.2078324899.

The spelling of 769098564 in words is "seven hundred sixty-nine million, ninety-eight thousand, five hundred sixty-four".