7873258320 has 280 divisors, whose sum is σ = 27687561216. Its totient is φ = 2081044224.

The previous prime is 7873258291. The next prime is 7873258321. The reversal of 7873258320 is 238523787.

7873258320 is a `hidden beast` number, since 7 + 8 + 73 + 258 + 320 = 666.

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 (7873258321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7406109 + ... + 7407171.

Almost surely, 2^7873258320 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 7873258320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843780608).

7873258320 is an abundant number, since it is smaller than the sum of its proper divisors (19814302896).

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

7873258320 is a wasteful number, since it uses less digits than its factorization.

7873258320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7873258320 is about 88731.3829487628. The cubic root of 7873258320 is about 1989.3819212957.

The spelling of 7873258320 in words is "seven billion, eight hundred seventy-three million, two hundred fifty-eight thousand, three hundred twenty".