76056960 has 128 divisors (see below), whose sum is σ = 277113600. Its totient is φ = 17381376.

The previous prime is 76056947. The next prime is 76056971. The reversal of 76056960 is 6965067.

It is a happy number.

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

It is a super-2 number, since 2×76056960² = 11569322328883200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10611 + ... + 16269.

It is an arithmetic number, because the mean of its divisors is an integer number (2164950).

Almost surely, 2^76056960 is an apocalyptic number.

76056960 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 76056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138556800).

76056960 is an abundant number, since it is smaller than the sum of its proper divisors (201056640).

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

76056960 is a wasteful number, since it uses less digits than its factorization.

76056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 76056960 is about 8721.0641552508. The cubic root of 76056960 is about 423.6881532766.

The spelling of 76056960 in words is "seventy-six million, fifty-six thousand, nine hundred sixty".