78727600 has 120 divisors (see below), whose sum is σ = 223382528. Its totient is φ = 26092800.

The previous prime is 78727591. The next prime is 78727603. The reversal of 78727600 is 672787.

It is a self number, because there is not a number n which added to its sum of digits gives 78727600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78727603) 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 23 ways as a sum of consecutive naturals, for example, 86347 + ... + 87253.

Almost surely, 2^78727600 is an apocalyptic number.

78727600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111691264).

78727600 is an abundant number, since it is smaller than the sum of its proper divisors (144654928).

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

78727600 is a wasteful number, since it uses less digits than its factorization.

78727600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 78727600 is about 8872.8574878671. The cubic root of 78727600 is about 428.5902996981.

The spelling of 78727600 in words is "seventy-eight million, seven hundred twenty-seven thousand, six hundred".