7876859040 has 192 divisors, whose sum is σ = 27643835520. Its totient is φ = 2094796800.

The previous prime is 7876859027. The next prime is 7876859047. The reversal of 7876859040 is 409586787.

7876859040 is a `hidden beast` number, since 7 + 8 + 7 + 6 + 8 + 590 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7876859047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1730047 + ... + 1734593.

It is an arithmetic number, because the mean of its divisors is an integer number (143978310).

Almost surely, 2^7876859040 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 7876859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821917760).

7876859040 is an abundant number, since it is smaller than the sum of its proper divisors (19766976480).

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

7876859040 is a wasteful number, since it uses less digits than its factorization.

7876859040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7876859040 is about 88751.6706321633. The cubic root of 7876859040 is about 1989.6851466890.

The spelling of 7876859040 in words is "seven billion, eight hundred seventy-six million, eight hundred fifty-nine thousand, forty".