7981200432 has 160 divisors (see below), whose sum is σ = 23861568000. Its totient is φ = 2551046400.

The previous prime is 7981200431. The next prime is 7981200433. The reversal of 7981200432 is 2340021897.

It is an interprime number because it is at equal distance from previous prime (7981200431) and next prime (7981200433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7981200431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1889619 + ... + 1893837.

It is an arithmetic number, because the mean of its divisors is an integer number (149134800).

Almost surely, 2^7981200432 is an apocalyptic number.

7981200432 is a gapful number since it is divisible by the number (72) 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 7981200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11930784000).

7981200432 is an abundant number, since it is smaller than the sum of its proper divisors (15880367568).

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

7981200432 is a wasteful number, since it uses less digits than its factorization.

7981200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7981200432 is about 89337.5645067628. The cubic root of 7981200432 is about 1998.4321405629.

The spelling of 7981200432 in words is "seven billion, nine hundred eighty-one million, two hundred thousand, four hundred thirty-two".