76053120 has 256 divisors, whose sum is σ = 285828480. Its totient is φ = 16957440.

The previous prime is 76053083. The next prime is 76053161. The reversal of 76053120 is 2135067.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 274422 + ... + 274698.

Almost surely, 2^76053120 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 76053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142914240).

76053120 is an abundant number, since it is smaller than the sum of its proper divisors (209775360).

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

76053120 is a wasteful number, since it uses less digits than its factorization.

76053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 76053120 is about 8720.8439958527. The cubic root of 76053120 is about 423.6810227003.

Adding to 76053120 its reverse (2135067), we get a palindrome (78188187).

The spelling of 76053120 in words is "seventy-six million, fifty-three thousand, one hundred twenty".