76533120 has 256 divisors, whose sum is σ = 280051200. Its totient is φ = 19740672.

The previous prime is 76533103. The next prime is 76533137. The reversal of 76533120 is 2133567.

It is a happy number.

76533120 is a `hidden beast` number, since 7 + 6 + 533 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (76533103) and next prime (76533137).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742989 + ... + 743091.

It is an arithmetic number, because the mean of its divisors is an integer number (1093950).

Almost surely, 2^76533120 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 76533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140025600).

76533120 is an abundant number, since it is smaller than the sum of its proper divisors (203518080).

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

76533120 is a wasteful number, since it uses less digits than its factorization.

76533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 76533120 is about 8748.3209817656. The cubic root of 76533120 is about 424.5704911094.

Adding to 76533120 its reverse (2133567), we get a palindrome (78666687).

The spelling of 76533120 in words is "seventy-six million, five hundred thirty-three thousand, one hundred twenty".