88800768 has 120 divisors (see below), whose sum is σ = 293003568. Its totient is φ = 25362432.

The previous prime is 88800757. The next prime is 88800781. The reversal of 88800768 is 86700888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30880 + ... + 33632.

Almost surely, 2^88800768 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 88800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146501784).

88800768 is an abundant number, since it is smaller than the sum of its proper divisors (204202800).

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

88800768 is a wasteful number, since it uses less digits than its factorization.

88800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 88800768 is about 9423.4159411542. The cubic root of 88800768 is about 446.1411070603.

The spelling of 88800768 in words is "eighty-eight million, eight hundred thousand, seven hundred sixty-eight".