795183480 has 768 divisors, whose sum is σ = 3522355200. Its totient is φ = 156764160.

The previous prime is 795183469. The next prime is 795183481. The reversal of 795183480 is 84381597.

795183480 is a `hidden beast` number, since 7 + 95 + 1 + 83 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795183481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25651065 + ... + 25651095.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^795183480 is an apocalyptic number.

795183480 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 795183480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761177600).

795183480 is an abundant number, since it is smaller than the sum of its proper divisors (2727171720).

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

795183480 is a wasteful number, since it uses less digits than its factorization.

795183480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 795183480 is about 28198.9978545338. The cubic root of 795183480 is about 926.4509898375.

The spelling of 795183480 in words is "seven hundred ninety-five million, one hundred eighty-three thousand, four hundred eighty".