76689520 has 40 divisors (see below), whose sum is σ = 180323280. Its totient is φ = 30328320.

The previous prime is 76689517. The next prime is 76689523. The reversal of 76689520 is 2598667.

It is an interprime number because it is at equal distance from previous prime (76689517) and next prime (76689523).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76689523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1735 + ... + 12505.

It is an arithmetic number, because the mean of its divisors is an integer number (4508082).

Almost surely, 2^76689520 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 76689520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90161640).

76689520 is an abundant number, since it is smaller than the sum of its proper divisors (103633760).

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

76689520 is a wasteful number, since it uses less digits than its factorization.

76689520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10873 (or 10867 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 76689520 is about 8757.2552777683. The cubic root of 76689520 is about 424.8595060413.

The spelling of 76689520 in words is "seventy-six million, six hundred eighty-nine thousand, five hundred twenty".