78283400 has 48 divisors (see below), whose sum is σ = 196016100. Its totient is φ = 28903680.

The previous prime is 78283367. The next prime is 78283409. The reversal of 78283400 is 438287.

It can be written as a sum of positive squares in 6 ways, for example, as 10484644 + 67798756 = 3238^2 + 8234^2 .

It is a super-2 number, since 2×78283400² = 12256581431120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78283409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12455 + ... + 17654.

Almost surely, 2^78283400 is an apocalyptic number.

It is an amenable number.

78283400 is an abundant number, since it is smaller than the sum of its proper divisors (117732700).

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

78283400 is a wasteful number, since it uses less digits than its factorization.

78283400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30138 (or 30129 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 78283400 is about 8847.7906846851. The cubic root of 78283400 is about 427.7827091627.

The spelling of 78283400 in words is "seventy-eight million, two hundred eighty-three thousand, four hundred".