76209120 has 384 divisors, whose sum is σ = 304819200. Its totient is φ = 17639424.

The previous prime is 76209103. The next prime is 76209157. The reversal of 76209120 is 2190267.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291651 + ... + 1291709.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^76209120 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 76209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

76209120 is an abundant number, since it is smaller than the sum of its proper divisors (228610080).

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

76209120 is a wasteful number, since it uses less digits than its factorization.

76209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 76209120 is about 8729.7835024702. The cubic root of 76209120 is about 423.9705094002.

Adding to 76209120 its reverse (2190267), we get a palindrome (78399387).

The spelling of 76209120 in words is "seventy-six million, two hundred nine thousand, one hundred twenty".