5370076800 has 864 divisors, whose sum is σ = 22305759840. Its totient is φ = 1226649600.

The previous prime is 5370076783. The next prime is 5370076813. The reversal of 5370076800 is 86700735.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 80150367 + ... + 80150433.

Almost surely, 2^5370076800 is an apocalyptic number.

5370076800 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 5370076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152879920).

5370076800 is an abundant number, since it is smaller than the sum of its proper divisors (16935683040).

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

5370076800 is a wasteful number, since it uses less digits than its factorization.

5370076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5370076800 is about 73280.8078558090. The cubic root of 5370076800 is about 1751.1640473078.

The spelling of 5370076800 in words is "five billion, three hundred seventy million, seventy-six thousand, eight hundred".