75776064 has 112 divisors (see below), whose sum is σ = 246814848. Its totient is φ = 19980288.

The previous prime is 75776023. The next prime is 75776131. The reversal of 75776064 is 46067757.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15304 + ... + 19640.

It is an arithmetic number, because the mean of its divisors is an integer number (2203704).

Almost surely, 2^75776064 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 75776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123407424).

75776064 is an abundant number, since it is smaller than the sum of its proper divisors (171038784).

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

75776064 is a wasteful number, since it uses less digits than its factorization.

75776064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 75776064 is about 8704.9448016630. The cubic root of 75776064 is about 423.1659169500.

The spelling of 75776064 in words is "seventy-five million, seven hundred seventy-six thousand, sixty-four".