76008055200 has 432 divisors, whose sum is σ = 313967967264. Its totient is φ = 15793612800.

The previous prime is 76008055177. The next prime is 76008055223. The reversal of 76008055200 is 255080067.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76008055177) and next prime (76008055223).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1264222 + ... + 1322978.

It is an arithmetic number, because the mean of its divisors is an integer number (726777702).

Almost surely, 2^76008055200 is an apocalyptic number.

76008055200 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 76008055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156983983632).

76008055200 is an abundant number, since it is smaller than the sum of its proper divisors (237959912064).

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

76008055200 is a wasteful number, since it uses less digits than its factorization.

76008055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58805 (or 58785 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 76008055200 in words is "seventy-six billion, eight million, fifty-five thousand, two hundred".