7982013240 has 384 divisors, whose sum is σ = 28639008000. Its totient is φ = 1976617728.

The previous prime is 7982013229. The next prime is 7982013241. The reversal of 7982013240 is 423102897.

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

It is a junction number, because it is equal to n+sod(n) for n = 7982013195 and 7982013204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7982013241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23002747 + ... + 23003093.

It is an arithmetic number, because the mean of its divisors is an integer number (74580750).

Almost surely, 2^7982013240 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 7982013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319504000).

7982013240 is an abundant number, since it is smaller than the sum of its proper divisors (20656994760).

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

7982013240 is a wasteful number, since it uses less digits than its factorization.

7982013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 435 counting only the distinct ones).

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

The square root of 7982013240 is about 89342.1134739939. The cubic root of 7982013240 is about 1998.4999785825.

The spelling of 7982013240 in words is "seven billion, nine hundred eighty-two million, thirteen thousand, two hundred forty".