77490200 has 48 divisors (see below), whose sum is σ = 181346280. Its totient is φ = 30792960.

The previous prime is 77490163. The next prime is 77490221. The reversal of 77490200 is 209477.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 31412 + ... + 33788.

Almost surely, 2^77490200 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 77490200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90673140).

77490200 is an abundant number, since it is smaller than the sum of its proper divisors (103856080).

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

77490200 is a wasteful number, since it uses less digits than its factorization.

77490200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 77490200 is about 8802.8518106350. The cubic root of 77490200 is about 426.3329774848.

Adding to 77490200 its reverse (209477), we get a palindrome (77699677).

The spelling of 77490200 in words is "seventy-seven million, four hundred ninety thousand, two hundred".