77872296499200 has 1152 divisors, whose sum is σ = 333574899840000. Its totient is φ = 17799273676800.

The previous prime is 77872296499163. The next prime is 77872296499259. The reversal of 77872296499200 is 299469227877.

77872296499200 is a `hidden beast` number, since 7 + 7 + 8 + 7 + 22 + 96 + 499 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474081085 + ... + 474245315.

It is an arithmetic number, because the mean of its divisors is an integer number (289561545000).

Almost surely, 2^{77872296499200} is an apocalyptic number.

77872296499200 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 77872296499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166787449920000).

77872296499200 is an abundant number, since it is smaller than the sum of its proper divisors (255702603340800).

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

77872296499200 is a wasteful number, since it uses less digits than its factorization.

77872296499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164293 (or 164248 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 77872296499200 in words is "seventy-seven trillion, eight hundred seventy-two billion, two hundred ninety-six million, four hundred ninety-nine thousand, two hundred".