78148200 has 192 divisors, whose sum is σ = 268107840. Its totient is φ = 18708480.

The previous prime is 78148193. The next prime is 78148207. The reversal of 78148200 is 284187.

It is an interprime number because it is at equal distance from previous prime (78148193) and next prime (78148207).

It is a super-2 number, since 2×78148200² = 12214282326480000, 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 not an unprimeable number, because it can be changed into a prime (78148207) 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 47 ways as a sum of consecutive naturals, for example, 335284 + ... + 335516.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 2^78148200 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 78148200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

78148200 is an abundant number, since it is smaller than the sum of its proper divisors (189959640).

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

78148200 is a wasteful number, since it uses less digits than its factorization.

78148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 78148200 is about 8840.1470576003. The cubic root of 78148200 is about 427.5362986859.

The spelling of 78148200 in words is "seventy-eight million, one hundred forty-eight thousand, two hundred".