312000720 has 80 divisors (see below), whose sum is σ = 972259200. Its totient is φ = 82765312.

The previous prime is 312000683. The next prime is 312000737. The reversal of 312000720 is 27000213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312000720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43981 + ... + 50579.

It is an arithmetic number, because the mean of its divisors is an integer number (12153240).

Almost surely, 2^312000720 is an apocalyptic number.

312000720 is a gapful number since it is divisible by the number (30) 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 312000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486129600).

312000720 is an abundant number, since it is smaller than the sum of its proper divisors (660258480).

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

312000720 is a wasteful number, since it uses less digits than its factorization.

312000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 312000720 is about 17663.5421136306. The cubic root of 312000720 is about 678.2428103273.

Adding to 312000720 its reverse (27000213), we get a palindrome (339000933).

The spelling of 312000720 in words is "three hundred twelve million, seven hundred twenty", and thus it is an aban number.