5762038800 has 480 divisors, whose sum is σ = 22535065600. Its totient is φ = 1229230080.

The previous prime is 5762038783. The next prime is 5762038873. The reversal of 5762038800 is 88302675.

It is a super-2 number, since 2×5762038800² = 66402182265410880000, which contains 22 as substring.

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, 12608172 + ... + 12608628.

Almost surely, 2^5762038800 is an apocalyptic number.

5762038800 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 5762038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267532800).

5762038800 is an abundant number, since it is smaller than the sum of its proper divisors (16773026800).

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

5762038800 is a wasteful number, since it uses less digits than its factorization.

5762038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 5762038800 is about 75908.0944300409. The cubic root of 5762038800 is about 1792.7733710814.

The spelling of 5762038800 in words is "five billion, seven hundred sixty-two million, thirty-eight thousand, eight hundred".