830087582688 has 480 divisors, whose sum is σ = 3065994993600. Its totient is φ = 218921149440.

The previous prime is 830087582671. The next prime is 830087582693. The reversal of 830087582688 is 886285780038.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11521818 + ... + 11593638.

It is an arithmetic number, because the mean of its divisors is an integer number (6387489570).

Almost surely, 2^830087582688 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 830087582688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532997496800).

830087582688 is an abundant number, since it is smaller than the sum of its proper divisors (2235907410912).

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

830087582688 is a wasteful number, since it uses less digits than its factorization.

830087582688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71877 (or 71846 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 830087582688 in words is "eight hundred thirty billion, eighty-seven million, five hundred eighty-two thousand, six hundred eighty-eight".