76791871000 has 256 divisors, whose sum is σ = 204548198400. Its totient is φ = 26769600000.

The previous prime is 76791870997. The next prime is 76791871003. The reversal of 76791871000 is 17819767.

It is an interprime number because it is at equal distance from previous prime (76791870997) and next prime (76791871003).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76791871003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 23619375 + ... + 23622625.

It is an arithmetic number, because the mean of its divisors is an integer number (799016400).

Almost surely, 2^76791871000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76791871000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102274099200).

76791871000 is an abundant number, since it is smaller than the sum of its proper divisors (127756327400).

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

76791871000 is a wasteful number, since it uses less digits than its factorization.

76791871000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 46.

The spelling of 76791871000 in words is "seventy-six billion, seven hundred ninety-one million, eight hundred seventy-one thousand".