77563264 has 32 divisors (see below), whose sum is σ = 155582640. Its totient is φ = 38515200.

The previous prime is 77563261. The next prime is 77563273. The reversal of 77563264 is 46236577.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77563261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17322 + ... + 21334.

Almost surely, 2^77563264 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 77563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77791320).

77563264 is an abundant number, since it is smaller than the sum of its proper divisors (78019376).

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

77563264 is a wasteful number, since it uses less digits than its factorization.

77563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4166 counting only the distinct ones).

The product of its digits is 211680, while the sum is 40.

The square root of 77563264 is about 8807.0008515953. Note that the first 3 decimals coincide. The cubic root of 77563264 is about 426.4669290799.

The spelling of 77563264 in words is "seventy-seven million, five hundred sixty-three thousand, two hundred sixty-four".