77332400 has 60 divisors (see below), whose sum is σ = 187694832. Its totient is φ = 30616320.

The previous prime is 77332399. The next prime is 77332403. The reversal of 77332400 is 423377.

It is a self number, because there is not a number n which added to its sum of digits gives 77332400.

It is not an unprimeable number, because it can be changed into a prime (77332403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40262 + ... + 42138.

Almost surely, 2^77332400 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 77332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93847416).

77332400 is an abundant number, since it is smaller than the sum of its proper divisors (110362432).

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

77332400 is a wasteful number, since it uses less digits than its factorization.

77332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 26.

The square root of 77332400 is about 8793.8842384921. The cubic root of 77332400 is about 426.0433879118.

Adding to 77332400 its reverse (423377), we get a palindrome (77755777).

The spelling of 77332400 in words is "seventy-seven million, three hundred thirty-two thousand, four hundred".