76606231424100 has 288 divisors, whose sum is σ = 268232179541760. Its totient is φ = 16478752112640.

The previous prime is 76606231424011. The next prime is 76606231424113. The reversal of 76606231424100 is 142413260667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 519611196 + ... + 519758604.

It is an arithmetic number, because the mean of its divisors is an integer number (931361734520).

Almost surely, 2^{76606231424100} is an apocalyptic number.

76606231424100 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 76606231424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134116089770880).

76606231424100 is an abundant number, since it is smaller than the sum of its proper divisors (191625948117660).

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

76606231424100 is a wasteful number, since it uses less digits than its factorization.

76606231424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162007 (or 162000 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

Adding to 76606231424100 its reverse (142413260667), we get a palindrome (76748644684767).

The spelling of 76606231424100 in words is "seventy-six trillion, six hundred six billion, two hundred thirty-one million, four hundred twenty-four thousand, one hundred".