76281937920 has 432 divisors, whose sum is σ = 274809749760. Its totient is φ = 20299382784.

The previous prime is 76281937909. The next prime is 76281937933. The reversal of 76281937920 is 2973918267.

76281937920 is a `hidden beast` number, since 7 + 628 + 1 + 9 + 3 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 159252241 + ... + 159252719.

It is an arithmetic number, because the mean of its divisors is an integer number (636133680).

Almost surely, 2^76281937920 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 76281937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137404874880).

76281937920 is an abundant number, since it is smaller than the sum of its proper divisors (198527811840).

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

76281937920 is an frugal number, since it uses more digits than its factorization.

76281937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 76281937920 in words is "seventy-six billion, two hundred eighty-one million, nine hundred thirty-seven thousand, nine hundred twenty".