796824000 has 896 divisors, whose sum is σ = 3651747840. Its totient is φ = 165888000.

The previous prime is 796823977. The next prime is 796824001. The reversal of 796824000 is 428697.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796824001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25703985 + ... + 25704015.

Almost surely, 2^796824000 is an apocalyptic number.

796824000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825873920).

796824000 is an abundant number, since it is smaller than the sum of its proper divisors (2854923840).

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

796824000 is a wasteful number, since it uses less digits than its factorization.

796824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 796824000 is about 28228.0711349536. The cubic root of 796824000 is about 927.0876636025.

The spelling of 796824000 in words is "seven hundred ninety-six million, eight hundred twenty-four thousand".