76768560 has 240 divisors, whose sum is σ = 292481280. Its totient is φ = 18558720.

The previous prime is 76768553. The next prime is 76768589. The reversal of 76768560 is 6586767.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 213661 + ... + 214019.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^76768560 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 76768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

76768560 is an abundant number, since it is smaller than the sum of its proper divisors (215712720).

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

76768560 is a wasteful number, since it uses less digits than its factorization.

76768560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 76768560 is about 8761.7669450859. The cubic root of 76768560 is about 425.0054163093.

The spelling of 76768560 in words is "seventy-six million, seven hundred sixty-eight thousand, five hundred sixty".