769896960 has 160 divisors (see below), whose sum is σ = 2813069952. Its totient is φ = 175964160.

The previous prime is 769896931. The next prime is 769896977. The reversal of 769896960 is 69698967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 769896894 and 769896903.

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 15 ways as a sum of consecutive naturals, for example, 46600 + ... + 60920.

Almost surely, 2^769896960 is an apocalyptic number.

769896960 is a gapful number since it is divisible by the number (70) 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 769896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406534976).

769896960 is an abundant number, since it is smaller than the sum of its proper divisors (2043172992).

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

769896960 is a wasteful number, since it uses less digits than its factorization.

769896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14354 (or 14338 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The square root of 769896960 is about 27747.0171369825. The cubic root of 769896960 is about 916.5247592265.

The spelling of 769896960 in words is "seven hundred sixty-nine million, eight hundred ninety-six thousand, nine hundred sixty".