2807878320 has 240 divisors, whose sum is σ = 10483828992. Its totient is φ = 668805120.

The previous prime is 2807878319. The next prime is 2807878327. The reversal of 2807878320 is 238787082.

2807878320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (2807878327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285322 + ... + 294998.

Almost surely, 2^2807878320 is an apocalyptic number.

2807878320 is a gapful number since it is divisible by the number (20) 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 2807878320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241914496).

2807878320 is an abundant number, since it is smaller than the sum of its proper divisors (7675950672).

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

2807878320 is a wasteful number, since it uses less digits than its factorization.

2807878320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9740 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2807878320 is about 52989.4170566161. The cubic root of 2807878320 is about 1410.7804341041.

The spelling of 2807878320 in words is "two billion, eight hundred seven million, eight hundred seventy-eight thousand, three hundred twenty".