7687345700 has 108 divisors (see below), whose sum is σ = 17289604332. Its totient is φ = 2966630400.

The previous prime is 7687345681. The next prime is 7687345703. The reversal of 7687345700 is 75437867.

It can be written as a sum of positive squares in 18 ways, for example, as 1760809444 + 5926536256 = 41962^2 + 76984^2 .

It is a super-2 number, since 2×7687345700² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7687345703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31897580 + ... + 31897820.

It is an arithmetic number, because the mean of its divisors is an integer number (160088929).

Almost surely, 2^7687345700 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 7687345700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644802166).

7687345700 is an abundant number, since it is smaller than the sum of its proper divisors (9602258632).

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

7687345700 is a wasteful number, since it uses less digits than its factorization.

7687345700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 47.

The square root of 7687345700 is about 87677.5096589770. The cubic root of 7687345700 is about 1973.5984886752.

The spelling of 7687345700 in words is "seven billion, six hundred eighty-seven million, three hundred forty-five thousand, seven hundred".