795484800 has 672 divisors, whose sum is σ = 3317823360. Its totient is φ = 186624000.

The previous prime is 795484783. The next prime is 795484817. The reversal of 795484800 is 8484597.

795484800 is a `hidden beast` number, since 7 + 95 + 484 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (795484783) and next prime (795484817).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 25660785 + ... + 25660815.

Almost surely, 2^795484800 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 795484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658911680).

795484800 is an abundant number, since it is smaller than the sum of its proper divisors (2522338560).

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

795484800 is a wasteful number, since it uses less digits than its factorization.

795484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 795484800 is about 28204.3400915533. The cubic root of 795484800 is about 926.5679955207.

It can be divided in two parts, 79548 and 4800, that added together give a palindrome (84348).

The spelling of 795484800 in words is "seven hundred ninety-five million, four hundred eighty-four thousand, eight hundred".