830378896992 has 432 divisors, whose sum is σ = 2578945195008. Its totient is φ = 252699701760.

The previous prime is 830378896979. The next prime is 830378896993. The reversal of 830378896992 is 299698873038.

830378896992 is a `hidden beast` number, since 8 + 30 + 378 + 89 + 69 + 92 = 666.

It is a super-2 number, since 2×830378896992² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 830378896992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830378896993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1414614523 + ... + 1414615109.

It is an arithmetic number, because the mean of its divisors is an integer number (5969780544).

Almost surely, 2^830378896992 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 830378896992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289472597504).

830378896992 is an abundant number, since it is smaller than the sum of its proper divisors (1748566298016).

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

830378896992 is a wasteful number, since it uses less digits than its factorization.

830378896992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 830378896992 in words is "eight hundred thirty billion, three hundred seventy-eight million, eight hundred ninety-six thousand, nine hundred ninety-two".