830632320 has 576 divisors, whose sum is σ = 3491888400. Its totient is φ = 188116992.

The previous prime is 830632289. The next prime is 830632331. The reversal of 830632320 is 23236038.

830632320 is a `hidden beast` number, since 8 + 3 + 0 + 632 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 7620426 + ... + 7620534.

Almost surely, 2^830632320 is an apocalyptic number.

830632320 is a gapful number since it is divisible by the number (80) 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 830632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745944200).

830632320 is an abundant number, since it is smaller than the sum of its proper divisors (2661256080).

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

830632320 is a wasteful number, since it uses less digits than its factorization.

830632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 830632320 is about 28820.6925662795. The cubic root of 830632320 is about 940.0182281059.

Adding to 830632320 its reverse (23236038), we get a palindrome (853868358).

The spelling of 830632320 in words is "eight hundred thirty million, six hundred thirty-two thousand, three hundred twenty".