830127312 has 160 divisors (see below), whose sum is σ = 2737602560. Its totient is φ = 235923840.

The previous prime is 830127299. The next prime is 830127371. The reversal of 830127312 is 213721038.

It is a super-2 number, since 2×830127312² = 1378222708256690688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 673737 + ... + 674967.

It is an arithmetic number, because the mean of its divisors is an integer number (17110016).

Almost surely, 2^830127312 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 830127312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368801280).

830127312 is an abundant number, since it is smaller than the sum of its proper divisors (1907475248).

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

830127312 is a wasteful number, since it uses less digits than its factorization.

830127312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 830127312 is about 28811.9300290696. The cubic root of 830127312 is about 939.8276853300.

The spelling of 830127312 in words is "eight hundred thirty million, one hundred twenty-seven thousand, three hundred twelve".