796080 has 80 divisors (see below), whose sum is σ = 2571264. Its totient is φ = 203520.

The previous prime is 796067. The next prime is 796091. The reversal of 796080 is 80697.

796080 = 145² + 146² + ... + 175².

It is a happy number.

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 an unprimeable number.

796080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7387 + ... + 7493.

2⁷⁹⁶⁰⁸⁰ 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 796080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632).

796080 is an abundant number, since it is smaller than the sum of its proper divisors (1775184).

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

796080 is a wasteful number, since it uses less digits than its factorization.

796080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 796080 is about 892.2331533854. The cubic root of 796080 is about 92.6799031061.

The spelling of 796080 in words is "seven hundred ninety-six thousand, eighty".