76114560 has 128 divisors (see below), whose sum is σ = 251164800. Its totient is φ = 19582976.

The previous prime is 76114547. The next prime is 76114603. The reversal of 76114560 is 6541167.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54997 + ... + 56363.

It is an arithmetic number, because the mean of its divisors is an integer number (1962225).

Almost surely, 2^76114560 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 76114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125582400).

76114560 is an abundant number, since it is smaller than the sum of its proper divisors (175050240).

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

76114560 is a wasteful number, since it uses less digits than its factorization.

76114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 76114560 is about 8724.3658795353. The cubic root of 76114560 is about 423.7950831334.

The spelling of 76114560 in words is "seventy-six million, one hundred fourteen thousand, five hundred sixty".