7809678720 has 512 divisors, whose sum is σ = 29140992000. Its totient is φ = 1974067200.

The previous prime is 7809678703. The next prime is 7809678733. The reversal of 7809678720 is 278769087.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32676361 + ... + 32676599.

It is an arithmetic number, because the mean of its divisors is an integer number (56916000).

Almost surely, 2^7809678720 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 7809678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570496000).

7809678720 is an abundant number, since it is smaller than the sum of its proper divisors (21331313280).

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

7809678720 is a wasteful number, since it uses less digits than its factorization.

7809678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 7809678720 is about 88372.3866374559. The cubic root of 7809678720 is about 1984.0124327178.

It can be divided in two parts, 78096 and 78720, that added together give a square (156816 = 396²).

The spelling of 7809678720 in words is "seven billion, eight hundred nine million, six hundred seventy-eight thousand, seven hundred twenty".