77832703872 has 1024 divisors, whose sum is σ = 300810240000. Its totient is φ = 19630356480.

The previous prime is 77832703859. The next prime is 77832703891. The reversal of 77832703872 is 27830723877.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 612855873 + ... + 612855999.

It is an arithmetic number, because the mean of its divisors is an integer number (293760000).

Almost surely, 2^77832703872 is an apocalyptic number.

77832703872 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 77832703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150405120000).

77832703872 is an abundant number, since it is smaller than the sum of its proper divisors (222977536128).

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

77832703872 is a wasteful number, since it uses less digits than its factorization.

77832703872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 77832703872 in words is "seventy-seven billion, eight hundred thirty-two million, seven hundred three thousand, eight hundred seventy-two".