76680060 has 96 divisors (see below), whose sum is σ = 224501760. Its totient is φ = 19531008.

The previous prime is 76680059. The next prime is 76680061. The reversal of 76680060 is 6008667.

It is an interprime number because it is at equal distance from previous prime (76680059) and next prime (76680061).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76680061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220807 + ... + 221153.

It is an arithmetic number, because the mean of its divisors is an integer number (2338560).

Almost surely, 2^76680060 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 76680060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112250880).

76680060 is an abundant number, since it is smaller than the sum of its proper divisors (147821700).

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

76680060 is a wasteful number, since it uses less digits than its factorization.

76680060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 76680060 is about 8756.7151375387. The cubic root of 76680060 is about 424.8420358741.

The spelling of 76680060 in words is "seventy-six million, six hundred eighty thousand, sixty".