76009718400 has 1152 divisors, whose sum is σ = 325541306880. Its totient is φ = 15141888000.

The previous prime is 76009718383. The next prime is 76009718423. The reversal of 76009718400 is 481790067.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 710371147 + ... + 710371253.

It is an arithmetic number, because the mean of its divisors is an integer number (282587940).

Almost surely, 2^76009718400 is an apocalyptic number.

76009718400 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 76009718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162770653440).

76009718400 is an abundant number, since it is smaller than the sum of its proper divisors (249531588480).

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

76009718400 is a wasteful number, since it uses less digits than its factorization.

76009718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 76009718400 in words is "seventy-six billion, nine million, seven hundred eighteen thousand, four hundred".