795893472 has 288 divisors, whose sum is σ = 2670554880. Its totient is φ = 229996800.

The previous prime is 795893431. The next prime is 795893491. The reversal of 795893472 is 274398597.

795893472 is a `hidden beast` number, since 7 + 95 + 89 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2404347 + ... + 2404677.

It is an arithmetic number, because the mean of its divisors is an integer number (9272760).

Almost surely, 2^795893472 is an apocalyptic number.

795893472 is a gapful number since it is divisible by the number (72) 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 795893472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335277440).

795893472 is an abundant number, since it is smaller than the sum of its proper divisors (1874661408).

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

795893472 is a wasteful number, since it uses less digits than its factorization.

795893472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 795893472 is about 28211.5840037386. The cubic root of 795893472 is about 926.7266398970.

The spelling of 795893472 in words is "seven hundred ninety-five million, eight hundred ninety-three thousand, four hundred seventy-two".