76904345548800 has 2880 divisors, whose sum is σ = 360095639904000. Its totient is φ = 15756440371200.

The previous prime is 76904345548787. The next prime is 76904345548801. The reversal of 76904345548800 is 884554340967.

76904345548800 is a `hidden beast` number, since 7 + 6 + 9 + 0 + 4 + 3 + 4 + 5 + 548 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76904345548801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23311409551 + ... + 23311412849.

It is an arithmetic number, because the mean of its divisors is an integer number (125033208300).

Almost surely, 2^{76904345548800} is an apocalyptic number.

76904345548800 is a gapful number since it is divisible by the number (70) 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 76904345548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180047819952000).

76904345548800 is an abundant number, since it is smaller than the sum of its proper divisors (283191294355200).

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

76904345548800 is a wasteful number, since it uses less digits than its factorization.

76904345548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 76904345548800 in words is "seventy-six trillion, nine hundred four billion, three hundred forty-five million, five hundred forty-eight thousand, eight hundred".