7878396960 has 240 divisors, whose sum is σ = 31776566976. Its totient is φ = 1800755712.

The previous prime is 7878396959. The next prime is 7878396961. The reversal of 7878396960 is 696938787.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7878396959) and next prime (7878396961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (63) 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 (63).

It is not an unprimeable number, because it can be changed into a prime (7878396961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47299 + ... + 134141.

Almost surely, 2^7878396960 is an apocalyptic number.

7878396960 is a gapful number since it is divisible by the number (70) 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 7878396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888283488).

7878396960 is an abundant number, since it is smaller than the sum of its proper divisors (23898170016).

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

7878396960 is a wasteful number, since it uses less digits than its factorization.

7878396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86877 (or 86860 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The square root of 7878396960 is about 88760.3343842282. The cubic root of 7878396960 is about 1989.8146305115.

The spelling of 7878396960 in words is "seven billion, eight hundred seventy-eight million, three hundred ninety-six thousand, nine hundred sixty".