7832160000 has 1080 divisors, whose sum is σ = 34577244240. Its totient is φ = 1741824000.

The previous prime is 7832159989. The next prime is 7832160019. The reversal of 7832160000 is 612387.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×7832160000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 211679982 + ... + 211680018.

Almost surely, 2^7832160000 is an apocalyptic number.

7832160000 is a gapful number since it is divisible by the number (70) 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 7832160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288622120).

7832160000 is an abundant number, since it is smaller than the sum of its proper divisors (26745084240).

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

7832160000 is an equidigital number, since it uses as much as digits as its factorization.

7832160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7832160000 is about 88499.4915239630. The cubic root of 7832160000 is about 1985.9143636462.

Adding to 7832160000 its reverse (612387), we get a palindrome (7832772387).

The spelling of 7832160000 in words is "seven billion, eight hundred thirty-two million, one hundred sixty thousand".