76003365312 has 420 divisors, whose sum is σ = 273496948560. Its totient is φ = 20769509376.

The previous prime is 76003365287. The next prime is 76003365359. The reversal of 76003365312 is 21356330067.

76003365312 is a `hidden beast` number, since 7 + 6 + 0 + 0 + 336 + 5 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5835864 + ... + 5848872.

Almost surely, 2^76003365312 is an apocalyptic number.

76003365312 is a gapful number since it is divisible by the number (72) 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 76003365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136748474280).

76003365312 is an abundant number, since it is smaller than the sum of its proper divisors (197493583248).

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

76003365312 is a wasteful number, since it uses less digits than its factorization.

76003365312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13070 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

Adding to 76003365312 its reverse (21356330067), we get a palindrome (97359695379).

The spelling of 76003365312 in words is "seventy-six billion, three million, three hundred sixty-five thousand, three hundred twelve".