77326560 has 72 divisors (see below), whose sum is σ = 263881800. Its totient is φ = 20620032.

The previous prime is 77326553. The next prime is 77326567. The reversal of 77326560 is 6562377.

It is a happy number.

77326560 is a `hidden beast` number, since 7 + 73 + 26 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (77326553) and next prime (77326567).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77326567) 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 11 ways as a sum of consecutive naturals, for example, 25410 + ... + 28289.

It is an arithmetic number, because the mean of its divisors is an integer number (3665025).

Almost surely, 2^77326560 is an apocalyptic number.

It is an amenable number.

77326560 is an abundant number, since it is smaller than the sum of its proper divisors (186555240).

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

77326560 is a wasteful number, since it uses less digits than its factorization.

77326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53720 (or 53709 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 77326560 is about 8793.5521832761. The cubic root of 77326560 is about 426.0326629720.

The spelling of 77326560 in words is "seventy-seven million, three hundred twenty-six thousand, five hundred sixty".