796017600 has 504 divisors, whose sum is σ = 3316528800. Its totient is φ = 177315840.

The previous prime is 796017587. The next prime is 796017601. The reversal of 796017600 is 6710697.

It is a tau number, because it is divible by the number of its divisors (504).

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 (796017601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5342326 + ... + 5342474.

Almost surely, 2^796017600 is an apocalyptic number.

796017600 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 796017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658264400).

796017600 is an abundant number, since it is smaller than the sum of its proper divisors (2520511200).

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

796017600 is a wasteful number, since it uses less digits than its factorization.

796017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 796017600 is about 28213.7838653379. The cubic root of 796017600 is about 926.7748149978.

The spelling of 796017600 in words is "seven hundred ninety-six million, seventeen thousand, six hundred".