77387264 has 60 divisors (see below), whose sum is σ = 164567964. Its totient is φ = 36347904.

The previous prime is 77387263. The next prime is 77387267. The reversal of 77387264 is 46278377.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77387263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147707 + ... + 148229.

Almost surely, 2^77387264 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 77387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82283982).

77387264 is an abundant number, since it is smaller than the sum of its proper divisors (87180700).

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

77387264 is an equidigital number, since it uses as much as digits as its factorization.

77387264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 542 counting only the distinct ones).

The product of its digits is 395136, while the sum is 44.

The square root of 77387264 is about 8797.0031260651. The cubic root of 77387264 is about 426.1441172262.

The spelling of 77387264 in words is "seventy-seven million, three hundred eighty-seven thousand, two hundred sixty-four".