77842900 has 54 divisors (see below), whose sum is σ = 173349582. Its totient is φ = 30340800.

The previous prime is 77842859. The next prime is 77842913. The reversal of 77842900 is 924877.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 894916 + 76947984 = 946^2 + 8772^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77842900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 184690 + ... + 185110.

Almost surely, 2^77842900 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 77842900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86674791).

77842900 is an abundant number, since it is smaller than the sum of its proper divisors (95506682).

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

77842900 is a wasteful number, since it uses less digits than its factorization.

77842900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 77842900 is about 8822.8623473338. The cubic root of 77842900 is about 426.9788229437.

The spelling of 77842900 in words is "seventy-seven million, eight hundred forty-two thousand, nine hundred".