795452400 has 150 divisors (see below), whose sum is σ = 2854931112. Its totient is φ = 212112000.

The previous prime is 795452387. The next prime is 795452419. The reversal of 795452400 is 4254597.

795452400 is a `hidden beast` number, since 79 + 545 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20125 + ... + 44675.

Almost surely, 2^795452400 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 795452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427465556).

795452400 is an abundant number, since it is smaller than the sum of its proper divisors (2059478712).

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

795452400 is a wasteful number, since it uses less digits than its factorization.

795452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24581 (or 24561 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 795452400 is about 28203.7657060188. The cubic root of 795452400 is about 926.5554156824. Note that the first 3 decimals are identical.

The spelling of 795452400 in words is "seven hundred ninety-five million, four hundred fifty-two thousand, four hundred".