77947264 has 64 divisors (see below), whose sum is σ = 161262000. Its totient is φ = 37509120.

The previous prime is 77947217. The next prime is 77947267. The reversal of 77947264 is 46274977.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77947267) 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, 523062 + ... + 523210.

Almost surely, 2^77947264 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 77947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80631000).

77947264 is an abundant number, since it is smaller than the sum of its proper divisors (83314736).

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

77947264 is a wasteful number, since it uses less digits than its factorization.

77947264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its digits is 592704, while the sum is 46.

The square root of 77947264 is about 8828.7747734326. The cubic root of 77947264 is about 427.1695546109.

The spelling of 77947264 in words is "seventy-seven million, nine hundred forty-seven thousand, two hundred sixty-four".