796625280 has 480 divisors, whose sum is σ = 3151653120. Its totient is φ = 191600640.

The previous prime is 796625209. The next prime is 796625303. The reversal of 796625280 is 82526697.

796625280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×796625280² = 1269223673470156800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6272577 + ... + 6272703.

It is an arithmetic number, because the mean of its divisors is an integer number (6565944).

Almost surely, 2^796625280 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 796625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575826560).

796625280 is an abundant number, since it is smaller than the sum of its proper divisors (2355027840).

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

796625280 is a wasteful number, since it uses less digits than its factorization.

796625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 796625280 is about 28224.5510150295. The cubic root of 796625280 is about 927.0105883731.

The spelling of 796625280 in words is "seven hundred ninety-six million, six hundred twenty-five thousand, two hundred eighty".