76028064 has 96 divisors (see below), whose sum is σ = 238049280. Its totient is φ = 20773632.

The previous prime is 76028009. The next prime is 76028107. The reversal of 76028064 is 46082067.

It is a tau number, because it is divible by the number of its divisors (96).

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, 12997 + ... + 17915.

It is an arithmetic number, because the mean of its divisors is an integer number (2479680).

Almost surely, 2^76028064 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 76028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119024640).

76028064 is an abundant number, since it is smaller than the sum of its proper divisors (162021216).

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

76028064 is a wasteful number, since it uses less digits than its factorization.

76028064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 76028064 is about 8719.4073193079. The cubic root of 76028064 is about 423.6344897957.

The spelling of 76028064 in words is "seventy-six million, twenty-eight thousand, sixty-four".