78152200 has 48 divisors (see below), whose sum is σ = 207665280. Its totient is φ = 26794560.

The previous prime is 78152197. The next prime is 78152201. The reversal of 78152200 is 225187.

It is a super-2 number, since 2×78152200² = 12215532729680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (78152201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26512 + ... + 29311.

It is an arithmetic number, because the mean of its divisors is an integer number (4326360).

Almost surely, 2^78152200 is an apocalyptic number.

78152200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78152200 is an abundant number, since it is smaller than the sum of its proper divisors (129513080).

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

78152200 is a wasteful number, since it uses less digits than its factorization.

78152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55846 (or 55837 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 78152200 is about 8840.3732952857. The cubic root of 78152200 is about 427.5435930148.

Adding to 78152200 its reverse (225187), we get a palindrome (78377387).

The spelling of 78152200 in words is "seventy-eight million, one hundred fifty-two thousand, two hundred".