7860872448 has 540 divisors, whose sum is σ = 27861295924. Its totient is φ = 2189721600.

The previous prime is 7860872429. The next prime is 7860872479. The reversal of 7860872448 is 8442780687.

It is a happy number.

7860872448 is a `hidden beast` number, since 7 + 8 + 608 + 7 + 24 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3434897664 + 4425974784 = 58608^2 + 66528^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7860872394 and 7860872403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32617608 + ... + 32617848.

Almost surely, 2^7860872448 is an apocalyptic number.

7860872448 is a gapful number since it is divisible by the number (78) 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 7860872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13930647962).

7860872448 is an abundant number, since it is smaller than the sum of its proper divisors (20000423476).

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

7860872448 is a wasteful number, since it uses less digits than its factorization.

7860872448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 7860872448 is about 88661.5612765758. The cubic root of 7860872448 is about 1988.3381703638.

The spelling of 7860872448 in words is "seven billion, eight hundred sixty million, eight hundred seventy-two thousand, four hundred forty-eight".