830870784000 has 960 divisors, whose sum is σ = 3280803205680. Its totient is φ = 208443801600.

The previous prime is 830870783947. The next prime is 830870784053. The reversal of 830870784000 is 487078038.

It is an interprime number because it is at equal distance from previous prime (830870783947) and next prime (830870784053).

It can be written as a sum of positive squares in 8 ways, for example, as 19833652224 + 811037131776 = 140832^2 + 900576^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 352510822 + ... + 352513178.

Almost surely, 2^830870784000 is an apocalyptic number.

830870784000 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 830870784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640401602840).

830870784000 is an abundant number, since it is smaller than the sum of its proper divisors (2449932421680).

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

830870784000 is a wasteful number, since it uses less digits than its factorization.

830870784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 830870784000 in words is "eight hundred thirty billion, eight hundred seventy million, seven hundred eighty-four thousand".