792467040 has 96 divisors (see below), whose sum is σ = 2502511200. Its totient is φ = 210796544.

The previous prime is 792467033. The next prime is 792467041. The reversal of 792467040 is 40764297.

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

It is a self number, because there is not a number n which added to its sum of digits gives 792467040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792467041) 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, 213682 + ... + 217358.

It is an arithmetic number, because the mean of its divisors is an integer number (26067825).

Almost surely, 2^792467040 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 792467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251255600).

792467040 is an abundant number, since it is smaller than the sum of its proper divisors (1710044160).

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

792467040 is a wasteful number, since it uses less digits than its factorization.

792467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 792467040 is about 28150.7911078890. The cubic root of 792467040 is about 925.3948312010.

The spelling of 792467040 in words is "seven hundred ninety-two million, four hundred sixty-seven thousand, forty".