6872303880 has 192 divisors, whose sum is σ = 24198174000. Its totient is φ = 1691449344.

The previous prime is 6872303869. The next prime is 6872303881. The reversal of 6872303880 is 883032786.

It can be written as a sum of positive squares in 8 ways, for example, as 7518564 + 6864785316 = 2742^2 + 82854^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (6872303881) 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, 786576 + ... + 795264.

Almost surely, 2^6872303880 is an apocalyptic number.

6872303880 is a gapful number since it is divisible by the number (60) 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 6872303880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099087000).

6872303880 is an abundant number, since it is smaller than the sum of its proper divisors (17325870120).

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

6872303880 is a wasteful number, since it uses less digits than its factorization.

6872303880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745 (or 8712 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6872303880 is about 82899.3599492783. The cubic root of 6872303880 is about 1901.2276350646.

The spelling of 6872303880 in words is "six billion, eight hundred seventy-two million, three hundred three thousand, eight hundred eighty".