796517760 has 128 divisors (see below), whose sum is σ = 2575100160. Its totient is φ = 209377280.

The previous prime is 796517749. The next prime is 796517797. The reversal of 796517760 is 67715697.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 133399 + ... + 139241.

It is an arithmetic number, because the mean of its divisors is an integer number (20117970).

Almost surely, 2^796517760 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 796517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287550080).

796517760 is an abundant number, since it is smaller than the sum of its proper divisors (1778582400).

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

796517760 is a wasteful number, since it uses less digits than its factorization.

796517760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 48.

The square root of 796517760 is about 28222.6462260363. The cubic root of 796517760 is about 926.9688804896.

The spelling of 796517760 in words is "seven hundred ninety-six million, five hundred seventeen thousand, seven hundred sixty".