77397264 has 120 divisors (see below), whose sum is σ = 252761600. Its totient is φ = 22099392.

The previous prime is 77397263. The next prime is 77397293. The reversal of 77397264 is 46279377.

Added to its reverse (46279377) it gives a square (123676641 = 11121²).

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77397263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48609 + ... + 50175.

Almost surely, 2^77397264 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 77397264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126380800).

77397264 is an abundant number, since it is smaller than the sum of its proper divisors (175364336).

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

77397264 is a wasteful number, since it uses less digits than its factorization.

77397264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1579 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 77397264 is about 8797.5714830855. The cubic root of 77397264 is about 426.1624719158.

Adding to 77397264 its reverse (46279377), we get a square (123676641 = 11121²).

The spelling of 77397264 in words is "seventy-seven million, three hundred ninety-seven thousand, two hundred sixty-four".