76287825 has 60 divisors (see below), whose sum is σ = 143093148. Its totient is φ = 40176000.

The previous prime is 76287797. The next prime is 76287833. The reversal of 76287825 is 52878267.

It can be written as a sum of positive squares in 6 ways, for example, as 2259009 + 74028816 = 1503^2 + 8604^2 .

It is not a de Polignac number, because 76287825 - 2⁷ = 76287697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 204339 + ... + 204711.

Almost surely, 2^76287825 is an apocalyptic number.

76287825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76287825 is a deficient number, since it is larger than the sum of its proper divisors (66805323).

76287825 is a wasteful number, since it uses less digits than its factorization.

76287825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 76287825 is about 8734.2901829513. The cubic root of 76287825 is about 424.1164110910.

The spelling of 76287825 in words is "seventy-six million, two hundred eighty-seven thousand, eight hundred twenty-five".