78205800 has 48 divisors (see below), whose sum is σ = 242439840. Its totient is φ = 20854720.

The previous prime is 78205789. The next prime is 78205807. The reversal of 78205800 is 850287.

It is a super-2 number, since 2×78205800² = 12232294307280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (78205807) 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, 64572 + ... + 65771.

It is an arithmetic number, because the mean of its divisors is an integer number (5050830).

Almost surely, 2^78205800 is an apocalyptic number.

It is an amenable number.

78205800 is an abundant number, since it is smaller than the sum of its proper divisors (164234040).

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

78205800 is a wasteful number, since it uses less digits than its factorization.

78205800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130362 (or 130353 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 78205800 is about 8843.4043218661. The cubic root of 78205800 is about 427.6413130175.

The spelling of 78205800 in words is "seventy-eight million, two hundred five thousand, eight hundred".