76530160 has 80 divisors (see below), whose sum is σ = 207576000. Its totient is φ = 26229504.

The previous prime is 76530137. The next prime is 76530163. The reversal of 76530160 is 6103567.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76530163) 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 15 ways as a sum of consecutive naturals, for example, 26046 + ... + 28834.

It is an arithmetic number, because the mean of its divisors is an integer number (2594700).

Almost surely, 2^76530160 is an apocalyptic number.

76530160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103788000).

76530160 is an abundant number, since it is smaller than the sum of its proper divisors (131045840).

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

76530160 is a wasteful number, since it uses less digits than its factorization.

76530160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 76530160 is about 8748.1518048100. The cubic root of 76530160 is about 424.5650174668.

The spelling of 76530160 in words is "seventy-six million, five hundred thirty thousand, one hundred sixty".