78753600 has 168 divisors, whose sum is σ = 287243520. Its totient is φ = 20989440.

The previous prime is 78753559. The next prime is 78753611. The reversal of 78753600 is 635787.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42289 + ... + 44111.

Almost surely, 2^78753600 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 78753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143621760).

78753600 is an abundant number, since it is smaller than the sum of its proper divisors (208489920).

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

78753600 is a wasteful number, since it uses less digits than its factorization.

78753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 78753600 is about 8874.3225093525. The cubic root of 78753600 is about 428.6374755353.

The spelling of 78753600 in words is "seventy-eight million, seven hundred fifty-three thousand, six hundred".