830882635380 has 576 divisors, whose sum is σ = 3303504691200. Its totient is φ = 169332664320.

The previous prime is 830882635369. The next prime is 830882635393. The reversal of 830882635380 is 83536288038.

830882635380 is a `hidden beast` number, since 8 + 3 + 0 + 88 + 26 + 3 + 538 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20735965 + ... + 20775995.

It is an arithmetic number, because the mean of its divisors is an integer number (5735251200).

Almost surely, 2^830882635380 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 830882635380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651752345600).

830882635380 is an abundant number, since it is smaller than the sum of its proper divisors (2472622055820).

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

830882635380 is a wasteful number, since it uses less digits than its factorization.

830882635380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40109 (or 40084 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 830882635380 in words is "eight hundred thirty billion, eight hundred eighty-two million, six hundred thirty-five thousand, three hundred eighty".