76274208 has 144 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 23542272.

The previous prime is 76274203. The next prime is 76274239. The reversal of 76274208 is 80247267.

76274208 is a `hidden beast` number, since 7 + 627 + 4 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (76274203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 289885 + ... + 290147.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^76274208 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 76274208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

76274208 is an abundant number, since it is smaller than the sum of its proper divisors (157239072).

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

76274208 is a wasteful number, since it uses less digits than its factorization.

76274208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 76274208 is about 8733.5106343326. The cubic root of 76274208 is about 424.0911753611.

The spelling of 76274208 in words is "seventy-six million, two hundred seventy-four thousand, two hundred eight".