78420800 has 84 divisors (see below), whose sum is σ = 201448416. Its totient is φ = 29990400.

The previous prime is 78420781. The next prime is 78420817. The reversal of 78420800 is 802487.

It is a super-2 number, since 2×78420800² = 12299643745280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35735 + ... + 37865.

Almost surely, 2^78420800 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 78420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100724208).

78420800 is an abundant number, since it is smaller than the sum of its proper divisors (123027616).

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

78420800 is a wasteful number, since it uses less digits than its factorization.

78420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 78420800 is about 8855.5519308511. The cubic root of 78420800 is about 428.0328387765.

The spelling of 78420800 in words is "seventy-eight million, four hundred twenty thousand, eight hundred".