96766080 has 128 divisors (see below), whose sum is σ = 312120000. Its totient is φ = 25497600.

The previous prime is 96766067. The next prime is 96766123. The reversal of 96766080 is 8066769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193671 + ... + 194169.

Almost surely, 2^96766080 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 96766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156060000).

96766080 is an abundant number, since it is smaller than the sum of its proper divisors (215353920).

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

96766080 is a wasteful number, since it uses less digits than its factorization.

96766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

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

The square root of 96766080 is about 9836.9751448298. The cubic root of 96766080 is about 459.1004474466.

The spelling of 96766080 in words is "ninety-six million, seven hundred sixty-six thousand, eighty".