769922496 has 280 divisors, whose sum is σ = 2667711200. Its totient is φ = 219469824.

The previous prime is 769922473. The next prime is 769922521. The reversal of 769922496 is 694229967.

769922496 is a `hidden beast` number, since 7 + 69 + 92 + 2 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 39 ways as a sum of consecutive naturals, for example, 1777896 + ... + 1778328.

It is an arithmetic number, because the mean of its divisors is an integer number (9527540).

Almost surely, 2^769922496 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 769922496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333855600).

769922496 is an abundant number, since it is smaller than the sum of its proper divisors (1897788704).

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

769922496 is an equidigital number, since it uses as much as digits as its factorization.

769922496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 445 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 769922496 is about 27747.4772907376. The cubic root of 769922496 is about 916.5348922350.

The spelling of 769922496 in words is "seven hundred sixty-nine million, nine hundred twenty-two thousand, four hundred ninety-six".