152076800 has 90 divisors (see below), whose sum is σ = 380270583. Its totient is φ = 60272640.

The previous prime is 152076797. The next prime is 152076803. The reversal of 152076800 is 8670251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (152076797) and next prime (152076803).

It can be written as a sum of positive squares in 5 ways, for example, as 85229824 + 66846976 = 9232^2 + 8176^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8720.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152076803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1395146 + ... + 1395254.

Almost surely, 2^152076800 is an apocalyptic number.

152076800 is a gapful number since it is divisible by the number (10) 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 152076800

152076800 is an abundant number, since it is smaller than the sum of its proper divisors (228193783).

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

152076800 is an frugal number, since it uses more digits than its factorization.

152076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 152076800 is about 12331.9422638934. The cubic root of 152076800 is about 533.7701976134.

The spelling of 152076800 in words is "one hundred fifty-two million, seventy-six thousand, eight hundred".