61278800 has 120 divisors (see below), whose sum is σ = 169289760. Its totient is φ = 21081600.

The previous prime is 61278779. The next prime is 61278809. The reversal of 61278800 is 887216.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61278809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83234 + ... + 83966.

It is an arithmetic number, because the mean of its divisors is an integer number (1410748).

Almost surely, 2^61278800 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 61278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84644880).

61278800 is an abundant number, since it is smaller than the sum of its proper divisors (108010960).

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

61278800 is a wasteful number, since it uses less digits than its factorization.

61278800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 61278800 is about 7828.0776695176. The cubic root of 61278800 is about 394.2485312152.

The spelling of 61278800 in words is "sixty-one million, two hundred seventy-eight thousand, eight hundred".