7678912320 has 448 divisors, whose sum is σ = 29516832000. Its totient is φ = 1871880192.

The previous prime is 7678912309. The next prime is 7678912321. The reversal of 7678912320 is 232198767.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7678912321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4759834 + ... + 4761446.

Almost surely, 2^7678912320 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 7678912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14758416000).

7678912320 is an abundant number, since it is smaller than the sum of its proper divisors (21837919680).

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

7678912320 is a wasteful number, since it uses less digits than its factorization.

7678912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7678912320 is about 87629.4032845140. The cubic root of 7678912320 is about 1972.8765144577.

The spelling of 7678912320 in words is "seven billion, six hundred seventy-eight million, nine hundred twelve thousand, three hundred twenty".