795938400 has 360 divisors, whose sum is σ = 2960529264. Its totient is φ = 208051200.

The previous prime is 795938393. The next prime is 795938411. The reversal of 795938400 is 4839597.

It is a tau number, because it is divible by the number of its divisors (360).

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, 4600714 + ... + 4600886.

Almost surely, 2^795938400 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 795938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480264632).

795938400 is an abundant number, since it is smaller than the sum of its proper divisors (2164590864).

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

795938400 is a wasteful number, since it uses less digits than its factorization.

795938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 795938400 is about 28212.3802611549. The cubic root of 795938400 is about 926.7440774028.

The spelling of 795938400 in words is "seven hundred ninety-five million, nine hundred thirty-eight thousand, four hundred".