76201344 has 128 divisors (see below), whose sum is σ = 238312800. Its totient is φ = 23887872.

The previous prime is 76201339. The next prime is 76201393. The reversal of 76201344 is 44310267.

76201344 is a `hidden beast` number, since 7 + 620 + 1 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 58104 + ... + 59400.

Almost surely, 2^76201344 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 76201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119156400).

76201344 is an abundant number, since it is smaller than the sum of its proper divisors (162111456).

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

76201344 is a wasteful number, since it uses less digits than its factorization.

76201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 76201344 is about 8729.3381192391. The cubic root of 76201344 is about 423.9560889615.

The spelling of 76201344 in words is "seventy-six million, two hundred one thousand, three hundred forty-four".