77114243287872 has 560 divisors, whose sum is σ = 266906609240832. Its totient is φ = 21559043358720.

The previous prime is 77114243287831. The next prime is 77114243287891. The reversal of 77114243287872 is 27878234241177.

It is a happy number.

77114243287872 is a `hidden beast` number, since 7 + 7 + 1 + 1 + 42 + 432 + 87 + 87 + 2 = 666.

It is a super-2 number, since 2×77114243287872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 427128373 + ... + 427308875.

Almost surely, 2^{77114243287872} is an apocalyptic number.

77114243287872 is a gapful number since it is divisible by the number (72) 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 77114243287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133453304620416).

77114243287872 is an abundant number, since it is smaller than the sum of its proper divisors (189792365952960).

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

77114243287872 is a wasteful number, since it uses less digits than its factorization.

77114243287872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180788 (or 180769 counting only the distinct ones).

The product of its digits is 59006976, while the sum is 63.

The spelling of 77114243287872 in words is "seventy-seven trillion, one hundred fourteen billion, two hundred forty-three million, two hundred eighty-seven thousand, eight hundred seventy-two".