312828780 has 96 divisors (see below), whose sum is σ = 961954560. Its totient is φ = 75329280.

The previous prime is 312828779. The next prime is 312828793. The reversal of 312828780 is 87828213.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102111 + ... + 105129.

It is an arithmetic number, because the mean of its divisors is an integer number (10020360).

Almost surely, 2^312828780 is an apocalyptic number.

312828780 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 312828780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480977280).

312828780 is an abundant number, since it is smaller than the sum of its proper divisors (649125780).

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

312828780 is a wasteful number, since it uses less digits than its factorization.

312828780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 312828780 is about 17686.9663877105. The cubic root of 312828780 is about 678.8423063960.

The spelling of 312828780 in words is "three hundred twelve million, eight hundred twenty-eight thousand, seven hundred eighty".