77826825 has 72 divisors (see below), whose sum is σ = 151115328. Its totient is φ = 39631680.

The previous prime is 77826821. The next prime is 77826899. The reversal of 77826825 is 52862877.

It is not a de Polignac number, because 77826825 - 2² = 77826821 is a prime.

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

Its product of digits (376320) is a multiple of the sum of its prime divisors (588).

It is not an unprimeable number, because it can be changed into a prime (77826821) 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 71 ways as a sum of consecutive naturals, for example, 139447 + ... + 140003.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^77826825 is an apocalyptic number.

77826825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77826825 is a deficient number, since it is larger than the sum of its proper divisors (73288503).

77826825 is a wasteful number, since it uses less digits than its factorization.

77826825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 588 counting only the distinct ones).

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

The square root of 77826825 is about 8821.9513147602. The cubic root of 77826825 is about 426.9494297381.

The spelling of 77826825 in words is "seventy-seven million, eight hundred twenty-six thousand, eight hundred twenty-five".