76840064 has 64 divisors (see below), whose sum is σ = 176256000. Its totient is φ = 32686080.

The previous prime is 76840063. The next prime is 76840087. The reversal of 76840064 is 46004867.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (76840063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170912 + ... + 171360.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2^76840064 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 76840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

76840064 is an abundant number, since it is smaller than the sum of its proper divisors (99415936).

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

76840064 is a wasteful number, since it uses less digits than its factorization.

76840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 76840064 is about 8765.8464508569. The cubic root of 76840064 is about 425.1373286311.

The spelling of 76840064 in words is "seventy-six million, eight hundred forty thousand, sixty-four".