5784292800 has 756 divisors, whose sum is σ = 24617242104. Its totient is φ = 1269964800.

The previous prime is 5784292783. The next prime is 5784292841. The reversal of 5784292800 is 82924875.

It is a super-2 number, since 2×5784292800² = 66916086392263680000, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 109137574 + ... + 109137626.

Almost surely, 2^5784292800 is an apocalyptic number.

5784292800 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 5784292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12308621052).

5784292800 is an abundant number, since it is smaller than the sum of its proper divisors (18832949304).

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

5784292800 is a wasteful number, since it uses less digits than its factorization.

5784292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 87 counting only the distinct ones).

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

The square root of 5784292800 is about 76054.5383261249. The cubic root of 5784292800 is about 1795.0784074088.

The spelling of 5784292800 in words is "five billion, seven hundred eighty-four million, two hundred ninety-two thousand, eight hundred".