78671600 has 60 divisors (see below), whose sum is σ = 216017424. Its totient is φ = 26972160.

The previous prime is 78671591. The next prime is 78671623. The reversal of 78671600 is 617687.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11249 + ... + 16848.

Almost surely, 2^78671600 is an apocalyptic number.

78671600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78671600 is an abundant number, since it is smaller than the sum of its proper divisors (137345824).

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

78671600 is a wasteful number, since it uses less digits than its factorization.

78671600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28122 (or 28111 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 78671600 is about 8869.7012351037. The cubic root of 78671600 is about 428.4886549137.

The spelling of 78671600 in words is "seventy-eight million, six hundred seventy-one thousand, six hundred".