830155392 has 320 divisors, whose sum is σ = 2799165600. Its totient is φ = 241920000.

The previous prime is 830155387. The next prime is 830155411. The reversal of 830155392 is 293551038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3307267 + ... + 3307517.

Almost surely, 2^830155392 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 830155392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399582800).

830155392 is an abundant number, since it is smaller than the sum of its proper divisors (1969010208).

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

830155392 is a wasteful number, since it uses less digits than its factorization.

830155392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 830155392 is about 28812.4173230918. The cubic root of 830155392 is about 939.8382821238.

The spelling of 830155392 in words is "eight hundred thirty million, one hundred fifty-five thousand, three hundred ninety-two".