5795714400 has 576 divisors, whose sum is σ = 23118520320. Its totient is φ = 1231718400.

The previous prime is 5795714387. The next prime is 5795714417. The reversal of 5795714400 is 44175975.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21386265 + ... + 21386535.

It is an arithmetic number, because the mean of its divisors is an integer number (40136320).

Almost surely, 2^5795714400 is an apocalyptic number.

5795714400 is a gapful number since it is divisible by the number (50) 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 5795714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11559260160).

5795714400 is an abundant number, since it is smaller than the sum of its proper divisors (17322805920).

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

5795714400 is a wasteful number, since it uses less digits than its factorization.

5795714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 5795714400 is about 76129.5895168232. The cubic root of 5795714400 is about 1796.2591445217.

The spelling of 5795714400 in words is "five billion, seven hundred ninety-five million, seven hundred fourteen thousand, four hundred".