77826204 has 192 divisors, whose sum is σ = 237081600. Its totient is φ = 21897216.

The previous prime is 77826193. The next prime is 77826209. The reversal of 77826204 is 40262877.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77826209) 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 63 ways as a sum of consecutive naturals, for example, 802284 + ... + 802380.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 2^77826204 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 77826204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

77826204 is an abundant number, since it is smaller than the sum of its proper divisors (159255396).

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

77826204 is a wasteful number, since it uses less digits than its factorization.

77826204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 77826204 is about 8821.9161183951. The cubic root of 77826204 is about 426.9482941558.

It can be divided in two parts, 77 and 826204, that added together give a square (826281 = 909²).

The spelling of 77826204 in words is "seventy-seven million, eight hundred twenty-six thousand, two hundred four".