61278880 has 96 divisors (see below), whose sum is σ = 165173904. Its totient is φ = 21282816.

The previous prime is 61278871. The next prime is 61278881. The reversal of 61278880 is 8887216.

It can be written as a sum of positive squares in 8 ways, for example, as 21790224 + 39488656 = 4668^2 + 6284^2 .

It is a super-2 number, since 2×61278880² = 7510202268108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (61278881) 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 15 ways as a sum of consecutive naturals, for example, 34494 + ... + 36226.

Almost surely, 2^61278880 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 61278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82586952).

61278880 is an abundant number, since it is smaller than the sum of its proper divisors (103895024).

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

61278880 is a wasteful number, since it uses less digits than its factorization.

61278880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 61278880 is about 7828.0827793273. The cubic root of 61278880 is about 394.2487027800.

The spelling of 61278880 in words is "sixty-one million, two hundred seventy-eight thousand, eight hundred eighty".