200778480 has 320 divisors, whose sum is σ = 809472000. Its totient is φ = 45722880.

The previous prime is 200778467. The next prime is 200778493. The reversal of 200778480 is 84877002.

It is an interprime number because it is at equal distance from previous prime (200778467) and next prime (200778493).

It is a super-2 number, since 2×200778480² = 80623996062220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740745 + ... + 741015.

It is an arithmetic number, because the mean of its divisors is an integer number (2529600).

Almost surely, 2^200778480 is an apocalyptic number.

200778480 is a gapful number since it is divisible by the number (20) 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 200778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404736000).

200778480 is an abundant number, since it is smaller than the sum of its proper divisors (608693520).

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

200778480 is a wasteful number, since it uses less digits than its factorization.

200778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 200778480 is about 14169.6323170363. The cubic root of 200778480 is about 585.5613284057.

The spelling of 200778480 in words is "two hundred million, seven hundred seventy-eight thousand, four hundred eighty".