7678851840 has 360 divisors, whose sum is σ = 29978636688. Its totient is φ = 1861263360.

The previous prime is 7678851811. The next prime is 7678851889. The reversal of 7678851840 is 481588767.

It is a happy number.

7678851840 is a `hidden beast` number, since 7 + 6 + 7 + 88 + 518 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1137114 + ... + 1143846.

Almost surely, 2^7678851840 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 7678851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989318344).

7678851840 is an abundant number, since it is smaller than the sum of its proper divisors (22299784848).

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

7678851840 is a wasteful number, since it uses less digits than its factorization.

7678851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 7678851840 is about 87629.0581941858. The cubic root of 7678851840 is about 1972.8713349097.

The spelling of 7678851840 in words is "seven billion, six hundred seventy-eight million, eight hundred fifty-one thousand, eight hundred forty".