77891886072 has 576 divisors, whose sum is σ = 290233812960. Its totient is φ = 18550425600.

The previous prime is 77891886019. The next prime is 77891886077. The reversal of 77891886072 is 27068819877.

77891886072 is a `hidden beast` number, since 7 + 7 + 8 + 9 + 18 + 8 + 607 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77891886077) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91314798 + ... + 91315650.

Almost surely, 2^77891886072 is an apocalyptic number.

77891886072 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 77891886072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145116906480).

77891886072 is an abundant number, since it is smaller than the sum of its proper divisors (212341926888).

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

77891886072 is a wasteful number, since it uses less digits than its factorization.

77891886072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 77891886072 in words is "seventy-seven billion, eight hundred ninety-one million, eight hundred eighty-six thousand, seventy-two".