77513268240 has 60 divisors (see below), whose sum is σ = 260315394924. Its totient is φ = 20670204672.

The previous prime is 77513268229. The next prime is 77513268241. The reversal of 77513268240 is 4286231577.

77513268240 is a `hidden beast` number, since 77 + 513 + 2 + 68 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39009410064 + 38503858176 = 197508^2 + 196224^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77513268241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53827939 + ... + 53829378.

Almost surely, 2^77513268240 is an apocalyptic number.

It is an amenable number.

77513268240 is an abundant number, since it is smaller than the sum of its proper divisors (182802126684).

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

77513268240 is a wasteful number, since it uses less digits than its factorization.

77513268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107657336 (or 107657327 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 77513268240 in words is "seventy-seven billion, five hundred thirteen million, two hundred sixty-eight thousand, two hundred forty".