78563800 has 96 divisors (see below), whose sum is σ = 221101920. Its totient is φ = 25344000.

The previous prime is 78563789. The next prime is 78563801. The reversal of 78563800 is 836587.

It is a self number, because there is not a number n which added to its sum of digits gives 78563800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78563801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22150 + ... + 25450.

It is an arithmetic number, because the mean of its divisors is an integer number (2303145).

Almost surely, 2^78563800 is an apocalyptic number.

78563800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78563800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110550960).

78563800 is an abundant number, since it is smaller than the sum of its proper divisors (142538120).

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

78563800 is a wasteful number, since it uses less digits than its factorization.

78563800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 78563800 is about 8863.6222843711. The cubic root of 78563800 is about 428.2928528246.

The spelling of 78563800 in words is "seventy-eight million, five hundred sixty-three thousand, eight hundred".