7832972100 has 144 divisors (see below), whose sum is σ = 23281384896. Its totient is φ = 2032128000.

The previous prime is 7832972093. The next prime is 7832972111. The reversal of 7832972100 is 12792387.

It is a super-2 number, since 2×7832972100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6038652 + ... + 6039948.

It is an arithmetic number, because the mean of its divisors is an integer number (161676284).

Almost surely, 2^7832972100 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 7832972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640692448).

7832972100 is an abundant number, since it is smaller than the sum of its proper divisors (15448412796).

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

7832972100 is a wasteful number, since it uses less digits than its factorization.

7832972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7832972100 is about 88504.0795669895. The cubic root of 7832972100 is about 1985.9829996851.

The spelling of 7832972100 in words is "seven billion, eight hundred thirty-two million, nine hundred seventy-two thousand, one hundred".