76440300 has 72 divisors (see below), whose sum is σ = 224527296. Its totient is φ = 20074560.

The previous prime is 76440263. The next prime is 76440307. The reversal of 76440300 is 304467.

It is not an unprimeable number, because it can be changed into a prime (76440307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18199 + ... + 22001.

Almost surely, 2^76440300 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 76440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112263648).

76440300 is an abundant number, since it is smaller than the sum of its proper divisors (148086996).

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

76440300 is a wasteful number, since it uses less digits than its factorization.

76440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 76440300 is about 8743.0143543288. The cubic root of 76440300 is about 424.3987808075.

Adding to 76440300 its reverse (304467), we get a palindrome (76744767).

The spelling of 76440300 in words is "seventy-six million, four hundred forty thousand, three hundred".