78200352 has 144 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 23846400.

The previous prime is 78200347. The next prime is 78200363. The reversal of 78200352 is 25300287.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78200352² = 12230590105847808, which contains 22 as substring.

It is an unprimeable number.

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, 169402 + ... + 169862.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^78200352 is an apocalyptic number.

78200352 is a gapful number since it is divisible by the number (72) 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 78200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

78200352 is an abundant number, since it is smaller than the sum of its proper divisors (163961568).

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

78200352 is a wasteful number, since it uses less digits than its factorization.

78200352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 78200352 is about 8843.0962903273. The cubic root of 78200352 is about 427.6313826203.

The spelling of 78200352 in words is "seventy-eight million, two hundred thousand, three hundred fifty-two".