76448400 has 240 divisors, whose sum is σ = 295219200. Its totient is φ = 16519680.

The previous prime is 76448369. The next prime is 76448413. The reversal of 76448400 is 484467.

It is a tau number, because it is divible by the number of its divisors (240).

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, 159361 + ... + 159839.

It is an arithmetic number, because the mean of its divisors is an integer number (1230080).

Almost surely, 2^76448400 is an apocalyptic number.

76448400 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 76448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609600).

76448400 is an abundant number, since it is smaller than the sum of its proper divisors (218770800).

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

76448400 is a wasteful number, since it uses less digits than its factorization.

76448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 76448400 is about 8743.4775690225. The cubic root of 76448400 is about 424.4137707570.

The spelling of 76448400 in words is "seventy-six million, four hundred forty-eight thousand, four hundred".