77871419136 has 432 divisors, whose sum is σ = 271672128000. Its totient is φ = 20955635712.

The previous prime is 77871419111. The next prime is 77871419177. The reversal of 77871419136 is 63191417877.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 60979330 + ... + 60980606.

Almost surely, 2^77871419136 is an apocalyptic number.

77871419136 is a gapful number since it is divisible by the number (76) 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 77871419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135836064000).

77871419136 is an abundant number, since it is smaller than the sum of its proper divisors (193800708864).

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

77871419136 is a wasteful number, since it uses less digits than its factorization.

77871419136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1507 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The spelling of 77871419136 in words is "seventy-seven billion, eight hundred seventy-one million, four hundred nineteen thousand, one hundred thirty-six".