76321200000 has 192 divisors, whose sum is σ = 253398000240. Its totient is φ = 20352000000.

The previous prime is 76321199953. The next prime is 76321200017. The reversal of 76321200000 is 212367.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×76321200000³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76321200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168200 + ... + 1231800.

Almost surely, 2^76321200000 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 76321200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126699000120).

76321200000 is an abundant number, since it is smaller than the sum of its proper divisors (177076800240).

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

76321200000 is an frugal number, since it uses more digits than its factorization.

76321200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63643 (or 63611 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 76321200000 its reverse (212367), we get a palindrome (76321412367).

The spelling of 76321200000 in words is "seventy-six billion, three hundred twenty-one million, two hundred thousand".