8076736543200 has 2304 divisors, whose sum is σ = 32555056343040. Its totient is φ = 1718558392320.

The previous prime is 8076736543181. The next prime is 8076736543201. The reversal of 8076736543200 is 23456376708.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8076736543201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46686338314 + ... + 46686338486.

It is an arithmetic number, because the mean of its divisors is an integer number (14129798760).

Almost surely, 2^{8076736543200} is an apocalyptic number.

8076736543200 is a gapful number since it is divisible by the number (80) 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 8076736543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277528171520).

8076736543200 is an abundant number, since it is smaller than the sum of its proper divisors (24478319799840).

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

8076736543200 is a wasteful number, since it uses less digits than its factorization.

8076736543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 8076736543200 in words is "eight trillion, seventy-six billion, seven hundred thirty-six million, five hundred forty-three thousand, two hundred".