76072900 has 18 divisors (see below), whose sum is σ = 165078410. Its totient is φ = 30429120.

The previous prime is 76072877. The next prime is 76072901. The reversal of 76072900 is 927067.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8964036 + 67108864 = 2994^2 + 8192^2 .

It is a super-2 number, since 2×76072900² = 11574172228820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76072901) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 380265 + ... + 380464.

Almost surely, 2^76072900 is an apocalyptic number.

It is an amenable number.

76072900 is an abundant number, since it is smaller than the sum of its proper divisors (89005510).

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

76072900 is a wasteful number, since it uses less digits than its factorization.

76072900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760743 (or 760736 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 76072900 is about 8721.9779866725. The cubic root of 76072900 is about 423.7177500307.

Adding to 76072900 its reverse (927067), we get a palindrome (76999967).

The spelling of 76072900 in words is "seventy-six million, seventy-two thousand, nine hundred".