77825132 has 36 divisors (see below), whose sum is σ = 172837224. Its totient is φ = 30320640.

The previous prime is 77825131. The next prime is 77825149. The reversal of 77825132 is 23152877.

It is a junction number, because it is equal to n+sod(n) for n = 77825092 and 77825101.

It is not an unprimeable number, because it can be changed into a prime (77825131) 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 11 ways as a sum of consecutive naturals, for example, 15893 + ... + 20204.

It is an arithmetic number, because the mean of its divisors is an integer number (4801034).

Almost surely, 2^77825132 is an apocalyptic number.

It is an amenable number.

77825132 is an abundant number, since it is smaller than the sum of its proper divisors (95012092).

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

77825132 is a wasteful number, since it uses less digits than its factorization.

77825132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36126 (or 36117 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 77825132 is about 8821.8553604103. The cubic root of 77825132 is about 426.9463338449.

The spelling of 77825132 in words is "seventy-seven million, eight hundred twenty-five thousand, one hundred thirty-two".