769926947328 has 640 divisors, whose sum is σ = 2991022848000. Its totient is φ = 189450731520.

The previous prime is 769926947299. The next prime is 769926947333. The reversal of 769926947328 is 823749629967.

769926947328 is a `hidden beast` number, since 7 + 6 + 9 + 92 + 69 + 473 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

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, 20205478 + ... + 20243546.

It is an arithmetic number, because the mean of its divisors is an integer number (4673473200).

Almost surely, 2^769926947328 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 769926947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495511424000).

769926947328 is an abundant number, since it is smaller than the sum of its proper divisors (2221095900672).

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

769926947328 is a wasteful number, since it uses less digits than its factorization.

769926947328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38133 (or 38111 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 769926947328 in words is "seven hundred sixty-nine billion, nine hundred twenty-six million, nine hundred forty-seven thousand, three hundred twenty-eight".