960766800 has 120 divisors (see below), whose sum is σ = 3517352256. Its totient is φ = 219601920.

The previous prime is 960766789. The next prime is 960766823. The reversal of 960766800 is 8667069.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48789 + ... + 65588.

Almost surely, 2^960766800 is an apocalyptic number.

It is an amenable number.

960766800 is an abundant number, since it is smaller than the sum of its proper divisors (2556585456).

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

960766800 is a wasteful number, since it uses less digits than its factorization.

960766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114405 (or 114394 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 960766800 is about 30996.2384814674. The cubic root of 960766800 is about 986.7474114181.

The spelling of 960766800 in words is "nine hundred sixty million, seven hundred sixty-six thousand, eight hundred".