76110320 has 80 divisors (see below), whose sum is σ = 207924192. Its totient is φ = 25543680.

The previous prime is 76110299. The next prime is 76110323. The reversal of 76110320 is 2301167.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 76110292 and 76110301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76110323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8114 + ... + 14766.

Almost surely, 2^76110320 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 76110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103962096).

76110320 is an abundant number, since it is smaller than the sum of its proper divisors (131813872).

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

76110320 is a wasteful number, since it uses less digits than its factorization.

76110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 76110320 is about 8724.1228785477. The cubic root of 76110320 is about 423.7872137475.

Adding to 76110320 its reverse (2301167), we get a palindrome (78411487).

The spelling of 76110320 in words is "seventy-six million, one hundred ten thousand, three hundred twenty".