7200680760 has 512 divisors, whose sum is σ = 30278707200. Its totient is φ = 1481379840.

The previous prime is 7200680717. The next prime is 7200680761. The reversal of 7200680760 is 670860027.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7200680761) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4028587 + ... + 4030373.

It is an arithmetic number, because the mean of its divisors is an integer number (59138100).

Almost surely, 2^7200680760 is an apocalyptic number.

7200680760 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 7200680760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15139353600).

7200680760 is an abundant number, since it is smaller than the sum of its proper divisors (23078026440).

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

7200680760 is a wasteful number, since it uses less digits than its factorization.

7200680760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7200680760 is about 84856.8250643400. The cubic root of 7200680760 is about 1931.0396253075.

The spelling of 7200680760 in words is "seven billion, two hundred million, six hundred eighty thousand, seven hundred sixty".