76982240000 has 360 divisors, whose sum is σ = 203440628160. Its totient is φ = 29016064000.

The previous prime is 76982239967. The next prime is 76982240033. The reversal of 76982240000 is 4228967.

It is an interprime number because it is at equal distance from previous prime (76982239967) and next prime (76982240033).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218079824 + ... + 218080176.

It is an arithmetic number, because the mean of its divisors is an integer number (565112856).

Almost surely, 2^76982240000 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 76982240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101720314080).

76982240000 is an abundant number, since it is smaller than the sum of its proper divisors (126458388160).

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

76982240000 is an equidigital number, since it uses as much as digits as its factorization.

76982240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

Adding to 76982240000 its reverse (4228967), we get a palindrome (76986468967).

The spelling of 76982240000 in words is "seventy-six billion, nine hundred eighty-two million, two hundred forty thousand".