76114300 has 72 divisors (see below), whose sum is σ = 174766592. Its totient is φ = 28728000.

The previous prime is 76114289. The next prime is 76114303. The reversal of 76114300 is 341167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76114303) 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, 133015 + ... + 133585.

Almost surely, 2^76114300 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 76114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87383296).

76114300 is an abundant number, since it is smaller than the sum of its proper divisors (98652292).

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

76114300 is a wasteful number, since it uses less digits than its factorization.

76114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 76114300 is about 8724.3509787262. The cubic root of 76114300 is about 423.7946005851.

Adding to 76114300 its reverse (341167), we get a palindrome (76455467).

It can be divided in two parts, 7611 and 4300, that added together give a palindrome (11911).

The spelling of 76114300 in words is "seventy-six million, one hundred fourteen thousand, three hundred".