7879818240 has 704 divisors, whose sum is σ = 33957273600. Its totient is φ = 1691615232.

The previous prime is 7879818217. The next prime is 7879818269. The reversal of 7879818240 is 428189787.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 16450321 + ... + 16450799.

Almost surely, 2^7879818240 is an apocalyptic number.

7879818240 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 7879818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978636800).

7879818240 is an abundant number, since it is smaller than the sum of its proper divisors (26077455360).

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

7879818240 is a wasteful number, since it uses less digits than its factorization.

7879818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 7879818240 is about 88768.3403021595. The cubic root of 7879818240 is about 1989.9342789504.

The spelling of 7879818240 in words is "seven billion, eight hundred seventy-nine million, eight hundred eighteen thousand, two hundred forty".