796409952 has 96 divisors (see below), whose sum is σ = 2268080640. Its totient is φ = 243233280.

The previous prime is 796409951. The next prime is 796409963. The reversal of 796409952 is 259904697.

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

It is a junction number, because it is equal to n+sod(n) for n = 796409895 and 796409904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796409951) 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, 171177 + ... + 175767.

It is an arithmetic number, because the mean of its divisors is an integer number (23625840).

Almost surely, 2^796409952 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 796409952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134040320).

796409952 is an abundant number, since it is smaller than the sum of its proper divisors (1471670688).

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

796409952 is a wasteful number, since it uses less digits than its factorization.

796409952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 796409952 is about 28220.7362058469. The cubic root of 796409952 is about 926.9270571200.

The spelling of 796409952 in words is "seven hundred ninety-six million, four hundred nine thousand, nine hundred fifty-two".