6872078304 has 432 divisors, whose sum is σ = 25034038848. Its totient is φ = 1771628544.

The previous prime is 6872078237. The next prime is 6872078359. The reversal of 6872078304 is 4038702786.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6872078304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8622034 + ... + 8622830.

It is an arithmetic number, because the mean of its divisors is an integer number (57949164).

Almost surely, 2^6872078304 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 6872078304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517019424).

6872078304 is an abundant number, since it is smaller than the sum of its proper divisors (18161960544).

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

6872078304 is a wasteful number, since it uses less digits than its factorization.

6872078304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6872078304 is about 82897.9993968491. Note that the first 3 decimals coincide. The cubic root of 6872078304 is about 1901.2068329180.

The spelling of 6872078304 in words is "six billion, eight hundred seventy-two million, seventy-eight thousand, three hundred four".