78462500 has 36 divisors (see below), whose sum is σ = 171653076. Its totient is φ = 31380000.

The previous prime is 78462493. The next prime is 78462509. The reversal of 78462500 is 526487.

It can be written as a sum of positive squares in 6 ways, for example, as 42198016 + 36264484 = 6496^2 + 6022^2 .

It is not an unprimeable number, because it can be changed into a prime (78462509) 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 11 ways as a sum of consecutive naturals, for example, 9362 + ... + 15638.

It is an arithmetic number, because the mean of its divisors is an integer number (4768141).

Almost surely, 2^78462500 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 78462500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85826538).

78462500 is an abundant number, since it is smaller than the sum of its proper divisors (93190576).

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

78462500 is an equidigital number, since it uses as much as digits as its factorization.

78462500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 78462500 is about 8857.9060731078. The cubic root of 78462500 is about 428.1086936798.

Adding to 78462500 its reverse (526487), we get a palindrome (78988987).

It can be divided in two parts, 784 and 62500, that multiplied together give a square (49000000 = 7000²).

The spelling of 78462500 in words is "seventy-eight million, four hundred sixty-two thousand, five hundred".