78155600 has 30 divisors (see below), whose sum is σ = 187769790. Its totient is φ = 31262080.

The previous prime is 78155591. The next prime is 78155603. The reversal of 78155600 is 655187.

It can be written as a sum of positive squares in 3 ways, for example, as 27290176 + 50865424 = 5224^2 + 7132^2 .

It is a super-2 number, since 2×78155600² = 12216595622720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78155603) 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 5 ways as a sum of consecutive naturals, for example, 97295 + ... + 98094.

It is an arithmetic number, because the mean of its divisors is an integer number (6258993).

Almost surely, 2^78155600 is an apocalyptic number.

It is an amenable number.

78155600 is an abundant number, since it is smaller than the sum of its proper divisors (109614190).

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

78155600 is a wasteful number, since it uses less digits than its factorization.

78155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195407 (or 195396 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 78155600 is about 8840.5655927661. The cubic root of 78155600 is about 427.5497929986.

The spelling of 78155600 in words is "seventy-eight million, one hundred fifty-five thousand, six hundred".