77132500 has 30 divisors (see below), whose sum is σ = 168678818. Its totient is φ = 30852000.

The previous prime is 77132491. The next prime is 77132509. The reversal of 77132500 is 523177.

It is an interprime number because it is at equal distance from previous prime (77132491) and next prime (77132509).

It can be written as a sum of positive squares in 5 ways, for example, as 47582404 + 29550096 = 6898^2 + 5436^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77132509) 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 9 ways as a sum of consecutive naturals, for example, 12927 + ... + 17926.

Almost surely, 2^77132500 is an apocalyptic number.

It is an amenable number.

77132500 is an abundant number, since it is smaller than the sum of its proper divisors (91546318).

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

77132500 is a wasteful number, since it uses less digits than its factorization.

77132500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30877 (or 30860 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 77132500 is about 8782.5110304514. The cubic root of 77132500 is about 425.6759715723.

Adding to 77132500 its reverse (523177), we get a palindrome (77655677).

The spelling of 77132500 in words is "seventy-seven million, one hundred thirty-two thousand, five hundred".