7726878720 has 624 divisors, whose sum is σ = 30299098752. Its totient is φ = 1804861440.

The previous prime is 7726878707. The next prime is 7726878791. The reversal of 7726878720 is 278786277.

It is a happy number.

It is a congruent number.

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, 75018189 + ... + 75018291.

It is an arithmetic number, because the mean of its divisors is an integer number (48556248).

Almost surely, 2^7726878720 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 7726878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149549376).

7726878720 is an abundant number, since it is smaller than the sum of its proper divisors (22572220032).

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

7726878720 is a wasteful number, since it uses less digits than its factorization.

7726878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The square root of 7726878720 is about 87902.6661711691. Note that the first 3 decimals coincide. The cubic root of 7726878720 is about 1976.9758548158.

It can be divided in two parts, 7726 and 878720, that added together give a triangular number (886446 = T₁₃₃₁).

The spelling of 7726878720 in words is "seven billion, seven hundred twenty-six million, eight hundred seventy-eight thousand, seven hundred twenty".