76934438400 has 480 divisors, whose sum is σ = 273269652480. Its totient is φ = 19010027520.

The previous prime is 76934438393. The next prime is 76934438423. The reversal of 76934438400 is 483443967.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76934438400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43736721 + ... + 43738479.

It is an arithmetic number, because the mean of its divisors is an integer number (569311776).

Almost surely, 2^76934438400 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 76934438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136634826240).

76934438400 is an abundant number, since it is smaller than the sum of its proper divisors (196335214080).

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

76934438400 is a wasteful number, since it uses less digits than its factorization.

76934438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 76934438400 in words is "seventy-six billion, nine hundred thirty-four million, four hundred thirty-eight thousand, four hundred".