769692672 has 352 divisors, whose sum is σ = 2696144640. Its totient is φ = 212336640.

The previous prime is 769692667. The next prime is 769692689. The reversal of 769692672 is 276296967.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7934928 + ... + 7935024.

Almost surely, 2^769692672 is an apocalyptic number.

769692672 is a gapful number since it is divisible by the number (72) 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 769692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348072320).

769692672 is an abundant number, since it is smaller than the sum of its proper divisors (1926451968).

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

769692672 is a wasteful number, since it uses less digits than its factorization.

769692672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 769692672 is about 27743.3356321838. The cubic root of 769692672 is about 916.4436870905.

The spelling of 769692672 in words is "seven hundred sixty-nine million, six hundred ninety-two thousand, six hundred seventy-two".