76761520 has 80 divisors (see below), whose sum is σ = 204986880. Its totient is φ = 26438400.

The previous prime is 76761497. The next prime is 76761541. The reversal of 76761520 is 2516767.

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

It is an unprimeable number.

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, 14425 + ... + 19015.

It is an arithmetic number, because the mean of its divisors is an integer number (2562336).

Almost surely, 2^76761520 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 76761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102493440).

76761520 is an abundant number, since it is smaller than the sum of its proper divisors (128225360).

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

76761520 is a wasteful number, since it uses less digits than its factorization.

76761520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 76761520 is about 8761.3651904255. The cubic root of 76761520 is about 424.9924243171.

The spelling of 76761520 in words is "seventy-six million, seven hundred sixty-one thousand, five hundred twenty".