76146560 has 128 divisors (see below), whose sum is σ = 217382400. Its totient is φ = 24938496.

The previous prime is 76146559. The next prime is 76146569. The reversal of 76146560 is 6564167.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 76146560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76146569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102671 + ... + 103409.

It is an arithmetic number, because the mean of its divisors is an integer number (1698300).

Almost surely, 2^76146560 is an apocalyptic number.

76146560 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 76146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108691200).

76146560 is an abundant number, since it is smaller than the sum of its proper divisors (141235840).

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

76146560 is a wasteful number, since it uses less digits than its factorization.

76146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 76146560 is about 8726.1996309963. The cubic root of 76146560 is about 423.8544653007.

The spelling of 76146560 in words is "seventy-six million, one hundred forty-six thousand, five hundred sixty".