76986320 has 40 divisors (see below), whose sum is σ = 180750336. Its totient is φ = 30492288.

The previous prime is 76986253. The next prime is 76986323. The reversal of 76986320 is 2368967.

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 (76986323) 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, 3569 + ... + 12911.

Almost surely, 2^76986320 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 76986320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90375168).

76986320 is an abundant number, since it is smaller than the sum of its proper divisors (103764016).

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

76986320 is a wasteful number, since it uses less digits than its factorization.

76986320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9459 (or 9453 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 76986320 is about 8774.1848624245. The cubic root of 76986320 is about 425.4068905997.

The spelling of 76986320 in words is "seventy-six million, nine hundred eighty-six thousand, three hundred twenty".