77723464 has 64 divisors (see below), whose sum is σ = 180512640. Its totient is φ = 30551040.

The previous prime is 77723449. The next prime is 77723467. The reversal of 77723464 is 46432777.

It is not an unprimeable number, because it can be changed into a prime (77723467) 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 15 ways as a sum of consecutive naturals, for example, 175227 + ... + 175669.

It is an arithmetic number, because the mean of its divisors is an integer number (2820510).

Almost surely, 2^77723464 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 77723464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90256320).

77723464 is an abundant number, since it is smaller than the sum of its proper divisors (102789176).

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

77723464 is a wasteful number, since it uses less digits than its factorization.

77723464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 706 counting only the distinct ones).

The product of its digits is 197568, while the sum is 40.

The square root of 77723464 is about 8816.0911973504. The cubic root of 77723464 is about 426.7603369645.

It can be divided in two parts, 77723 and 464, that added together give a palindrome (78187).

The spelling of 77723464 in words is "seventy-seven million, seven hundred twenty-three thousand, four hundred sixty-four".