313780000 has 120 divisors (see below), whose sum is σ = 800040780. Its totient is φ = 120960000.

The previous prime is 313779959. The next prime is 313780013. The reversal of 313780000 is 87313.

313780000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 31674384 + 282105616 = 5628^2 + 16796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579730 + ... + 580270.

Almost surely, 2^313780000 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 313780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400020390).

313780000 is an abundant number, since it is smaller than the sum of its proper divisors (486260780).

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

313780000 is an equidigital number, since it uses as much as digits as its factorization.

313780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 313780000 is about 17713.8363998316. The cubic root of 313780000 is about 679.5296632223.

The spelling of 313780000 in words is "three hundred thirteen million, seven hundred eighty thousand".