77201264 has 60 divisors (see below), whose sum is σ = 177053400. Its totient is φ = 32505984.

The previous prime is 77201263. The next prime is 77201273. The reversal of 77201264 is 46210277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77201263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45422 + ... + 47090.

It is an arithmetic number, because the mean of its divisors is an integer number (2950890).

Almost surely, 2^77201264 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 77201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88526700).

77201264 is an abundant number, since it is smaller than the sum of its proper divisors (99852136).

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

77201264 is a wasteful number, since it uses less digits than its factorization.

77201264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 77201264 is about 8786.4249840308. The cubic root of 77201264 is about 425.8024314016.

The spelling of 77201264 in words is "seventy-seven million, two hundred one thousand, two hundred sixty-four".