7826112000 has 640 divisors, whose sum is σ = 33092167680. Its totient is φ = 1786060800.

The previous prime is 7826111899. The next prime is 7826112013. The reversal of 7826112000 is 2116287.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×7826112000² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 12095677 + ... + 12096323.

It is an arithmetic number, because the mean of its divisors is an integer number (51706512).

Almost surely, 2^7826112000 is an apocalyptic number.

7826112000 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 7826112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546083840).

7826112000 is an abundant number, since it is smaller than the sum of its proper divisors (25266055680).

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

7826112000 is an equidigital number, since it uses as much as digits as its factorization.

7826112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7826112000 is about 88465.3152371030. The cubic root of 7826112000 is about 1985.4030571448.

Adding to 7826112000 its reverse (2116287), we get a palindrome (7828228287).

The spelling of 7826112000 in words is "seven billion, eight hundred twenty-six million, one hundred twelve thousand".