7882013232 has 160 divisors (see below), whose sum is σ = 23154718400. Its totient is φ = 2566453248.

The previous prime is 7882013231. The next prime is 7882013281. The reversal of 7882013232 is 2323102887.

It is a happy number.

It is a super-2 number, since 2×7882013232² (a number of 21 digits) contains 22 as substring.

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 (7882013231) 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, 3436278 + ... + 3438570.

It is an arithmetic number, because the mean of its divisors is an integer number (144716990).

Almost surely, 2^7882013232 is an apocalyptic number.

7882013232 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 7882013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577359200).

7882013232 is an abundant number, since it is smaller than the sum of its proper divisors (15272705168).

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

7882013232 is a wasteful number, since it uses less digits than its factorization.

7882013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7882013232 is about 88780.7030384419. The cubic root of 7882013232 is about 1990.1190329714.

The spelling of 7882013232 in words is "seven billion, eight hundred eighty-two million, thirteen thousand, two hundred thirty-two".