312380800 has 192 divisors, whose sum is σ = 825661440. Its totient is φ = 116582400.

The previous prime is 312380749. The next prime is 312380801. The reversal of 312380800 is 8083213.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312380801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4662367 + ... + 4662433.

It is an arithmetic number, because the mean of its divisors is an integer number (4300320).

Almost surely, 2^312380800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412830720).

312380800 is an abundant number, since it is smaller than the sum of its proper divisors (513280640).

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

312380800 is a wasteful number, since it uses less digits than its factorization.

312380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 312380800 is about 17674.2977229648. The cubic root of 312380800 is about 678.5181108879.

The spelling of 312380800 in words is "three hundred twelve million, three hundred eighty thousand, eight hundred".