77872386200 has 192 divisors, whose sum is σ = 220367770560. Its totient is φ = 24981995520.

The previous prime is 77872386199. The next prime is 77872386209. The reversal of 77872386200 is 268327877.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77872386209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4107944 + ... + 4126856.

It is an arithmetic number, because the mean of its divisors is an integer number (1147748805).

Almost surely, 2^77872386200 is an apocalyptic number.

77872386200 is a gapful number since it is divisible by the number (70) 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 77872386200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110183885280).

77872386200 is an abundant number, since it is smaller than the sum of its proper divisors (142495384360).

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

77872386200 is a wasteful number, since it uses less digits than its factorization.

77872386200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19126 (or 19117 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

The spelling of 77872386200 in words is "seventy-seven billion, eight hundred seventy-two million, three hundred eighty-six thousand, two hundred".