78202800 has 240 divisors, whose sum is σ = 300293280. Its totient is φ = 19215360.

The previous prime is 78202759. The next prime is 78202819. The reversal of 78202800 is 820287.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78202800² = 12231355855680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140122 + ... + 140678.

It is an arithmetic number, because the mean of its divisors is an integer number (1251222).

Almost surely, 2^78202800 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 78202800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150146640).

78202800 is an abundant number, since it is smaller than the sum of its proper divisors (222090480).

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

78202800 is a wasteful number, since it uses less digits than its factorization.

78202800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 78202800 is about 8843.2347023021. The cubic root of 78202800 is about 427.6358447942.

The spelling of 78202800 in words is "seventy-eight million, two hundred two thousand, eight hundred".