76731072000 has 640 divisors, whose sum is σ = 284592642048. Its totient is φ = 18182144000.

The previous prime is 76731071971. The next prime is 76731072013. The reversal of 76731072000 is 27013767.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 99263614 + ... + 99264386.

Almost surely, 2^76731072000 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 76731072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142296321024).

76731072000 is an abundant number, since it is smaller than the sum of its proper divisors (207861570048).

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

76731072000 is a wasteful number, since it uses less digits than its factorization.

76731072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

Adding to 76731072000 its reverse (27013767), we get a palindrome (76758085767).

The spelling of 76731072000 in words is "seventy-six billion, seven hundred thirty-one million, seventy-two thousand".