76800096 has 96 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 25322112.

The previous prime is 76800029. The next prime is 76800131. The reversal of 76800096 is 69000867.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76800096.

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, 88561 + ... + 89423.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^76800096 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 76800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

76800096 is an abundant number, since it is smaller than the sum of its proper divisors (149637024).

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

76800096 is a wasteful number, since it uses less digits than its factorization.

76800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 76800096 is about 8763.5663973065. The cubic root of 76800096 is about 425.0636047827.

The spelling of 76800096 in words is "seventy-six million, eight hundred thousand, ninety-six".