77316258240 has 224 divisors, whose sum is σ = 293736125760. Its totient is φ = 19031666688.

The previous prime is 77316258181. The next prime is 77316258241. The reversal of 77316258240 is 4285261377.

77316258240 is a `hidden beast` number, since 7 + 7 + 3 + 1 + 62 + 582 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77316258241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231859 + ... + 456498.

It is an arithmetic number, because the mean of its divisors is an integer number (1311321990).

Almost surely, 2^77316258240 is an apocalyptic number.

It is an amenable number.

77316258240 is an abundant number, since it is smaller than the sum of its proper divisors (216419867520).

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

77316258240 is a wasteful number, since it uses less digits than its factorization.

77316258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688396 (or 688380 counting only the distinct ones).

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

The spelling of 77316258240 in words is "seventy-seven billion, three hundred sixteen million, two hundred fifty-eight thousand, two hundred forty".