76532120 has 48 divisors (see below), whose sum is σ = 200316240. Its totient is φ = 26238912.

The previous prime is 76532111. The next prime is 76532123. The reversal of 76532120 is 2123567.

It is a self number, because there is not a number n which added to its sum of digits gives 76532120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76532123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17564 + ... + 21483.

It is an arithmetic number, because the mean of its divisors is an integer number (4173255).

Almost surely, 2^76532120 is an apocalyptic number.

76532120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76532120 is an abundant number, since it is smaller than the sum of its proper divisors (123784120).

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

76532120 is a wasteful number, since it uses less digits than its factorization.

76532120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39072 (or 39061 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 76532120 is about 8748.2638277546. The cubic root of 76532120 is about 424.5686419216.

Adding to 76532120 its reverse (2123567), we get a palindrome (78655687).

The spelling of 76532120 in words is "seventy-six million, five hundred thirty-two thousand, one hundred twenty".