7668100080 has 120 divisors (see below), whose sum is σ = 25843719408. Its totient is φ = 2037547008.

The previous prime is 7668100079. The next prime is 7668100081. The reversal of 7668100080 is 800018667.

It is an interprime number because it is at equal distance from previous prime (7668100079) and next prime (7668100081).

It is a tau number, because it is divible by the number of its divisors (120).

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 (7668100081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184944 + ... + 222576.

Almost surely, 2^7668100080 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 7668100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12921859704).

7668100080 is an abundant number, since it is smaller than the sum of its proper divisors (18175619328).

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

7668100080 is a wasteful number, since it uses less digits than its factorization.

7668100080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37935 (or 37926 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7668100080 is about 87567.6885614780. The cubic root of 7668100080 is about 1971.9501144212.

The spelling of 7668100080 in words is "seven billion, six hundred sixty-eight million, one hundred thousand, eighty".