76321120 has 48 divisors (see below), whose sum is σ = 181182960. Its totient is φ = 30380544.

The previous prime is 76321099. The next prime is 76321129. The reversal of 76321120 is 2112367.

It is a super-3 number, since 3×76321120³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76321091 and 76321100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76321129) 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, 35599 + ... + 37681.

It is an arithmetic number, because the mean of its divisors is an integer number (3774645).

Almost surely, 2^76321120 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 76321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90591480).

76321120 is an abundant number, since it is smaller than the sum of its proper divisors (104861840).

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

76321120 is a wasteful number, since it uses less digits than its factorization.

76321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 76321120 is about 8736.1959684980. The cubic root of 76321120 is about 424.1781024643.

Adding to 76321120 its reverse (2112367), we get a palindrome (78433487).

The spelling of 76321120 in words is "seventy-six million, three hundred twenty-one thousand, one hundred twenty".