76324550400 has 1728 divisors, whose sum is σ = 349160985600. Its totient is φ = 16124313600.

The previous prime is 76324550389. The next prime is 76324550437. The reversal of 76324550400 is 405542367.

76324550400 is a `hidden beast` number, since 7 + 6 + 3 + 245 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×76324550400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1861574380 + ... + 1861574420.

Almost surely, 2^76324550400 is an apocalyptic number.

76324550400 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 76324550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174580492800).

76324550400 is an abundant number, since it is smaller than the sum of its proper divisors (272836435200).

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

76324550400 is an equidigital number, since it uses as much as digits as its factorization.

76324550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 76324550400 in words is "seventy-six billion, three hundred twenty-four million, five hundred fifty thousand, four hundred".