77426064 has 80 divisors (see below), whose sum is σ = 233963200. Its totient is φ = 24447744.

The previous prime is 77426059. The next prime is 77426077. The reversal of 77426064 is 46062477.

77426064 is a `hidden beast` number, since 7 + 7 + 42 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 3492 + ... + 12924.

It is an arithmetic number, because the mean of its divisors is an integer number (2924540).

Almost surely, 2^77426064 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 77426064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116981600).

77426064 is an abundant number, since it is smaller than the sum of its proper divisors (156537136).

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

77426064 is a wasteful number, since it uses less digits than its factorization.

77426064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9469 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 77426064 is about 8799.2081461913. The cubic root of 77426064 is about 426.2153245901.

Subtracting from 77426064 its product of nonzero digits (56448), we obtain a square (77369616 = 8796²).

The spelling of 77426064 in words is "seventy-seven million, four hundred twenty-six thousand, sixty-four".