78153600 has 192 divisors, whose sum is σ = 294445440. Its totient is φ = 17848320.

The previous prime is 78153599. The next prime is 78153623. The reversal of 78153600 is 635187.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×78153600² = 12215970385920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 66619 + ... + 67781.

It is an arithmetic number, because the mean of its divisors is an integer number (1533570).

Almost surely, 2^78153600 is an apocalyptic number.

78153600 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 78153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147222720).

78153600 is an abundant number, since it is smaller than the sum of its proper divisors (216291840).

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

78153600 is a wasteful number, since it uses less digits than its factorization.

78153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 78153600 is about 8840.4524771077. The cubic root of 78153600 is about 427.5461459711.

Adding to 78153600 its reverse (635187), we get a palindrome (78788787).

The spelling of 78153600 in words is "seventy-eight million, one hundred fifty-three thousand, six hundred".