76351003872 has 864 divisors, whose sum is σ = 264964089600. Its totient is φ = 19135733760.

The previous prime is 76351003871. The next prime is 76351003901. The reversal of 76351003872 is 27830015367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76351003871) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 857876404 + ... + 857876492.

It is an arithmetic number, because the mean of its divisors is an integer number (306671400).

Almost surely, 2^76351003872 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 76351003872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132482044800).

76351003872 is an abundant number, since it is smaller than the sum of its proper divisors (188613085728).

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

76351003872 is a wasteful number, since it uses less digits than its factorization.

76351003872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 76351003872 in words is "seventy-six billion, three hundred fifty-one million, three thousand, eight hundred seventy-two".