77115045742380 has 576 divisors, whose sum is σ = 250145652556800. Its totient is φ = 19174317926400.

The previous prime is 77115045742379. The next prime is 77115045742381. The reversal of 77115045742380 is 8324754051177.

77115045742380 is a `hidden beast` number, since 7 + 7 + 1 + 1 + 504 + 57 + 4 + 2 + 3 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (77115045742379) and next prime (77115045742381).

It is not an unprimeable number, because it can be changed into a prime (77115045742381) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63054002449 + ... + 63054003671.

It is an arithmetic number, because the mean of its divisors is an integer number (434280646800).

Almost surely, 2^{77115045742380} 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 77115045742380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125072826278400).

77115045742380 is an abundant number, since it is smaller than the sum of its proper divisors (173030606814420).

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

77115045742380 is a wasteful number, since it uses less digits than its factorization.

77115045742380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 77115045742380 in words is "seventy-seven trillion, one hundred fifteen billion, forty-five million, seven hundred forty-two thousand, three hundred eighty".