7879072824 has 224 divisors, whose sum is σ = 26805431520. Its totient is φ = 2118555648.

The previous prime is 7879072823. The next prime is 7879072837. The reversal of 7879072824 is 4282709787.

It is a super-3 number, since 3×7879072824³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7879072823) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 688332 + ... + 699684.

It is an arithmetic number, because the mean of its divisors is an integer number (119667105).

Almost surely, 2^7879072824 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 7879072824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402715760).

7879072824 is an abundant number, since it is smaller than the sum of its proper divisors (18926358696).

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

7879072824 is a wasteful number, since it uses less digits than its factorization.

7879072824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401 (or 11382 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 7879072824 is about 88764.1415437563. The cubic root of 7879072824 is about 1989.8715289570.

The spelling of 7879072824 in words is "seven billion, eight hundred seventy-nine million, seventy-two thousand, eight hundred twenty-four".