76000320 has 168 divisors, whose sum is σ = 285292800. Its totient is φ = 18416640.

The previous prime is 76000283. The next prime is 76000343. The reversal of 76000320 is 2300067.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 76000293 and 76000302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30481 + ... + 32879.

Almost surely, 2^76000320 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 76000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

76000320 is an abundant number, since it is smaller than the sum of its proper divisors (209292480).

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

76000320 is a wasteful number, since it uses less digits than its factorization.

76000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 76000320 is about 8717.8162403207. The cubic root of 76000320 is about 423.5829529262.

Adding to 76000320 its reverse (2300067), we get a palindrome (78300387).

The spelling of 76000320 in words is "seventy-six million, three hundred twenty", and thus it is an aban number.