78953800 has 48 divisors (see below), whose sum is σ = 186706800. Its totient is φ = 31041600.

The previous prime is 78953783. The next prime is 78953803. The reversal of 78953800 is 835987.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (78953803) by changing a digit.

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, 8455 + ... + 15145.

It is an arithmetic number, because the mean of its divisors is an integer number (3889725).

Almost surely, 2^78953800 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 78953800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93353400).

78953800 is an abundant number, since it is smaller than the sum of its proper divisors (107753000).

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

78953800 is a wasteful number, since it uses less digits than its factorization.

78953800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 78953800 is about 8885.5950841798. The cubic root of 78953800 is about 429.0003821609. Note that the first 3 decimals are identical.

The spelling of 78953800 in words is "seventy-eight million, nine hundred fifty-three thousand, eight hundred".