792064 has 80 divisors (see below), whose sum is σ = 2062368. Its totient is φ = 294912.

The previous prime is 792061. The next prime is 792067. The reversal of 792064 is 460297.

792064 = 15² + 16² + ... + 133².

It is an interprime number because it is at equal distance from previous prime (792061) and next prime (792067).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46584 + ... + 46600.

2⁷⁹²⁰⁶⁴ 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 792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184).

792064 is an abundant number, since it is smaller than the sum of its proper divisors (1270304).

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

792064 is a wasteful number, since it uses less digits than its factorization.

792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 792064 is about 889.9797750511. The cubic root of 792064 is about 92.5237922728.

The spelling of 792064 in words is "seven hundred ninety-two thousand, sixty-four".