76322064 has 160 divisors (see below), whose sum is σ = 246484224. Its totient is φ = 19814400.

The previous prime is 76322063. The next prime is 76322101. The reversal of 76322064 is 46022367.

It is a super-3 number, since 3×76322064³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76322063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441082 + ... + 441254.

Almost surely, 2^76322064 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 76322064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123242112).

76322064 is an abundant number, since it is smaller than the sum of its proper divisors (170162160).

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

76322064 is a wasteful number, since it uses less digits than its factorization.

76322064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 76322064 is about 8736.2499964230. The cubic root of 76322064 is about 424.1798513139.

The spelling of 76322064 in words is "seventy-six million, three hundred twenty-two thousand, sixty-four".