76941446400 has 1620 divisors, whose sum is σ = 357920615052. Its totient is φ = 16164126720.

The previous prime is 76941446357. The next prime is 76941446411. The reversal of 76941446400 is 464414967.

It can be written as a sum of positive squares in 6 ways, for example, as 17436674304 + 59504772096 = 132048^2 + 243936^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 330220684 + ... + 330220916.

Almost surely, 2^76941446400 is an apocalyptic number.

76941446400 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 76941446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178960307526).

76941446400 is an abundant number, since it is smaller than the sum of its proper divisors (280979168652).

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

76941446400 is a wasteful number, since it uses less digits than its factorization.

76941446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 76941446400 in words is "seventy-six billion, nine hundred forty-one million, four hundred forty-six thousand, four hundred".