5770828800 has 990 divisors, whose sum is σ = 24509124024. Its totient is φ = 1338163200.

The previous prime is 5770828783. The next prime is 5770828831. The reversal of 5770828800 is 88280775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (990).

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 89 ways as a sum of consecutive naturals, for example, 250905589 + ... + 250905611.

Almost surely, 2^5770828800 is an apocalyptic number.

5770828800 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 5770828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254562012).

5770828800 is an abundant number, since it is smaller than the sum of its proper divisors (18738295224).

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

5770828800 is a wasteful number, since it uses less digits than its factorization.

5770828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5770828800 is about 75965.9713292735. The cubic root of 5770828800 is about 1793.6845341880.

The spelling of 5770828800 in words is "five billion, seven hundred seventy million, eight hundred twenty-eight thousand, eight hundred".