7873276320 has 288 divisors, whose sum is σ = 33068310912. Its totient is φ = 1661147136.

The previous prime is 7873276277. The next prime is 7873276339. The reversal of 7873276320 is 236723787.

7873276320 is a `hidden beast` number, since 7 + 8 + 7 + 3 + 2 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7873276320² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100999 + ... + 161081.

It is an arithmetic number, because the mean of its divisors is an integer number (114820524).

Almost surely, 2^7873276320 is an apocalyptic number.

7873276320 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 7873276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534155456).

7873276320 is an abundant number, since it is smaller than the sum of its proper divisors (25195034592).

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

7873276320 is a wasteful number, since it uses less digits than its factorization.

7873276320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60124 (or 60113 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 7873276320 is about 88731.4843784324. The cubic root of 7873276320 is about 1989.3834373494.

The spelling of 7873276320 in words is "seven billion, eight hundred seventy-three million, two hundred seventy-six thousand, three hundred twenty".