78152000 has 56 divisors (see below), whose sum is σ = 193563240. Its totient is φ = 31257600.

The previous prime is 78151991. The next prime is 78152003. The reversal of 78152000 is 25187.

It can be written as a sum of positive squares in 4 ways, for example, as 6512704 + 71639296 = 2552^2 + 8464^2 .

It is a super-2 number, since 2×78152000² = 12215470208000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78152003) 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 7 ways as a sum of consecutive naturals, for example, 3116 + ... + 12884.

Almost surely, 2^78152000 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 78152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96781620).

78152000 is an abundant number, since it is smaller than the sum of its proper divisors (115411240).

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

78152000 is an equidigital number, since it uses as much as digits as its factorization.

78152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9796 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 78152000 is about 8840.3619835389. The cubic root of 78152000 is about 427.5432283042.

Adding to 78152000 its reverse (25187), we get a palindrome (78177187).

The spelling of 78152000 in words is "seventy-eight million, one hundred fifty-two thousand".