76308360 has 128 divisors (see below), whose sum is σ = 240399360. Its totient is φ = 19353600.

The previous prime is 76308347. The next prime is 76308371. The reversal of 76308360 is 6380367.

It is a happy number.

It is a super-3 number, since 3×76308360³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271420 + ... + 271700.

It is an arithmetic number, because the mean of its divisors is an integer number (1878120).

Almost surely, 2^76308360 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 76308360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120199680).

76308360 is an abundant number, since it is smaller than the sum of its proper divisors (164091000).

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

76308360 is a wasteful number, since it uses less digits than its factorization.

76308360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 76308360 is about 8735.4656429981. The cubic root of 76308360 is about 424.1544619384.

The spelling of 76308360 in words is "seventy-six million, three hundred eight thousand, three hundred sixty".