5790397200 has 960 divisors, whose sum is σ = 24550428672. Its totient is φ = 1135411200.

The previous prime is 5790397199. The next prime is 5790397219. The reversal of 5790397200 is 27930975.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134660379 + ... + 134660421.

Almost surely, 2^5790397200 is an apocalyptic number.

5790397200 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 5790397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12275214336).

5790397200 is an abundant number, since it is smaller than the sum of its proper divisors (18760031472).

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

5790397200 is a wasteful number, since it uses less digits than its factorization.

5790397200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 5790397200 is about 76094.6594709510. The cubic root of 5790397200 is about 1795.7096585403.

The spelling of 5790397200 in words is "five billion, seven hundred ninety million, three hundred ninety-seven thousand, two hundred".