73764864 has 208 divisors, whose sum is σ = 235900800. Its totient is φ = 22708224.

The previous prime is 73764851. The next prime is 73764869. The reversal of 73764864 is 46846737.

It is not an unprimeable number, because it can be changed into a prime (73764869) by changing a digit.

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, 2543602 + ... + 2543630.

Almost surely, 2^73764864 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 73764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117950400).

73764864 is an abundant number, since it is smaller than the sum of its proper divisors (162135936).

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

73764864 is a wasteful number, since it uses less digits than its factorization.

73764864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 73764864 is about 8588.6473905965. The cubic root of 73764864 is about 419.3884978661.

The spelling of 73764864 in words is "seventy-three million, seven hundred sixty-four thousand, eight hundred sixty-four".