76704134011400 has 192 divisors, whose sum is σ = 208651442417280. Its totient is φ = 25681487616000.

The previous prime is 76704134011343. The next prime is 76704134011411. The reversal of 76704134011400 is 411043140767.

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 47 ways as a sum of consecutive naturals, for example, 6606707 + ... + 14037693.

It is an arithmetic number, because the mean of its divisors is an integer number (1086726262590).

Almost surely, 2^{76704134011400} is an apocalyptic number.

76704134011400 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 76704134011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104325721208640).

76704134011400 is an abundant number, since it is smaller than the sum of its proper divisors (131947308405880).

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

76704134011400 is a wasteful number, since it uses less digits than its factorization.

76704134011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431184 (or 7431175 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 76704134011400 in words is "seventy-six trillion, seven hundred four billion, one hundred thirty-four million, eleven thousand, four hundred".