75678064 has 160 divisors (see below), whose sum is σ = 199272960. Its totient is φ = 26956800.

The previous prime is 75678013. The next prime is 75678089. The reversal of 75678064 is 46087657.

It is a self number, because there is not a number n which added to its sum of digits gives 75678064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240594 + ... + 1240654.

It is an arithmetic number, because the mean of its divisors is an integer number (1245456).

Almost surely, 2^75678064 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 75678064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480).

75678064 is an abundant number, since it is smaller than the sum of its proper divisors (123594896).

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

75678064 is a wasteful number, since it uses less digits than its factorization.

75678064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 75678064 is about 8699.3139959424. The cubic root of 75678064 is about 422.9834136276.

The spelling of 75678064 in words is "seventy-five million, six hundred seventy-eight thousand, sixty-four".