76800720 has 80 divisors (see below), whose sum is σ = 240609600. Its totient is φ = 20262912.

The previous prime is 76800707. The next prime is 76800721. The reversal of 76800720 is 2700867.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76800721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21631 + ... + 24929.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 2^76800720 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 76800720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120304800).

76800720 is an abundant number, since it is smaller than the sum of its proper divisors (163808880).

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

76800720 is a wasteful number, since it uses less digits than its factorization.

76800720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 76800720 is about 8763.6019991782. The cubic root of 76800720 is about 425.0647559921.

The spelling of 76800720 in words is "seventy-six million, eight hundred thousand, seven hundred twenty".