7876440000 has 1400 divisors, whose sum is σ = 36292920048. Its totient is φ = 1658880000.

The previous prime is 7876439993. The next prime is 7876440007. The reversal of 7876440000 is 446787.

It is a happy number.

7876440000 is a `hidden beast` number, since 7 + 8 + 7 + 644 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7876439993) and next prime (7876440007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7876440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 463319992 + ... + 463320008.

Almost surely, 2^7876440000 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 7876440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18146460024).

7876440000 is an abundant number, since it is smaller than the sum of its proper divisors (28416480048).

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

7876440000 is a wasteful number, since it uses less digits than its factorization.

7876440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7876440000 is about 88749.3098564716. The cubic root of 7876440000 is about 1989.6498630628.

Adding to 7876440000 its reverse (446787), we get a palindrome (7876886787).

The spelling of 7876440000 in words is "seven billion, eight hundred seventy-six million, four hundred forty thousand".