8057376 has 72 divisors (see below), whose sum is σ = 23223564. Its totient is φ = 2649600.

The previous prime is 8057359. The next prime is 8057393. The reversal of 8057376 is 6737508.

8057376 is a `hidden beast` number, since 80 + 573 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8057359) and next prime (8057393).

It can be written as a sum of positive squares in 2 ways, for example, as 7952400 + 104976 = 2820^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×8057376³ (a number of 22 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8057376.

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 11 ways as a sum of consecutive naturals, for example, 28950 + ... + 29226.

Almost surely, 2^8057376 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 8057376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11611782).

8057376 is an abundant number, since it is smaller than the sum of its proper divisors (15166188).

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

8057376 is a wasteful number, since it uses less digits than its factorization.

8057376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 8057376 is about 2838.5517434072. The cubic root of 8057376 is about 200.4769948087.

The spelling of 8057376 in words is "eight million, fifty-seven thousand, three hundred seventy-six".