5770396800 has 1152 divisors, whose sum is σ = 25953696000. Its totient is φ = 1246371840.

The previous prime is 5770396789. The next prime is 5770396811. The reversal of 5770396800 is 86930775.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5770396789) and next prime (5770396811).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122774377 + ... + 122774423.

It is an arithmetic number, because the mean of its divisors is an integer number (22529250).

Almost surely, 2^5770396800 is an apocalyptic number.

5770396800 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 5770396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976848000).

5770396800 is an abundant number, since it is smaller than the sum of its proper divisors (20183299200).

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

5770396800 is a wasteful number, since it uses less digits than its factorization.

5770396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5770396800 is about 75963.1278976847. The cubic root of 5770396800 is about 1793.6397751028.

The spelling of 5770396800 in words is "five billion, seven hundred seventy million, three hundred ninety-six thousand, eight hundred".