77348264 has 72 divisors (see below), whose sum is σ = 176832810. Its totient is φ = 31622976.

The previous prime is 77348251. The next prime is 77348269. The reversal of 77348264 is 46284377.

It can be written as a sum of positive squares in only one way, i.e., 64802500 + 12545764 = 8050^2 + 3542^2 .

It is not an unprimeable number, because it can be changed into a prime (77348269) 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 17 ways as a sum of consecutive naturals, for example, 207182 + ... + 207554.

Almost surely, 2^77348264 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 77348264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88416405).

77348264 is an abundant number, since it is smaller than the sum of its proper divisors (99484546).

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

77348264 is a wasteful number, since it uses less digits than its factorization.

77348264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 405 counting only the distinct ones).

The product of its digits is 225792, while the sum is 41.

The square root of 77348264 is about 8794.7861827335. The cubic root of 77348264 is about 426.0725188246.

The spelling of 77348264 in words is "seventy-seven million, three hundred forty-eight thousand, two hundred sixty-four".