77740508160 has 880 divisors, whose sum is σ = 324331265280. Its totient is φ = 17438146560.

The previous prime is 77740508147. The next prime is 77740508161. The reversal of 77740508160 is 6180504777.

77740508160 is a `hidden beast` number, since 77 + 74 + 0 + 508 + 1 + 6 + 0 = 666.

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 (77740508161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177085221 + ... + 177085659.

It is an arithmetic number, because the mean of its divisors is an integer number (368558256).

Almost surely, 2^77740508160 is an apocalyptic number.

77740508160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77740508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162165632640).

77740508160 is an abundant number, since it is smaller than the sum of its proper divisors (246590757120).

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

77740508160 is a wasteful number, since it uses less digits than its factorization.

77740508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 77740508160 in words is "seventy-seven billion, seven hundred forty million, five hundred eight thousand, one hundred sixty".