830388332823972 has 384 divisors, whose sum is σ = 2192443390771200. Its totient is φ = 242707832193024.

The previous prime is 830388332823839. The next prime is 830388332824013. The reversal of 830388332823972 is 279328233883038.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 830388332823897 and 830388332823906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 467297879148 + ... + 467297880924.

It is an arithmetic number, because the mean of its divisors is an integer number (5709487996800).

Almost surely, 2^{830388332823972} 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 830388332823972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096221695385600).

830388332823972 is an abundant number, since it is smaller than the sum of its proper divisors (1362055057947228).

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

830388332823972 is a wasteful number, since it uses less digits than its factorization.

830388332823972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 69.

The spelling of 830388332823972 in words is "eight hundred thirty trillion, three hundred eighty-eight billion, three hundred thirty-two million, eight hundred twenty-three thousand, nine hundred seventy-two".