61278400 has 42 divisors (see below), whose sum is σ = 150787100. Its totient is φ = 24510720.

The previous prime is 61278379. The next prime is 61278407. The reversal of 61278400 is 487216.

It is not an unprimeable number, because it can be changed into a prime (61278407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17550 + ... + 20749.

Almost surely, 2^61278400 is an apocalyptic number.

It is an amenable number.

61278400 is an abundant number, since it is smaller than the sum of its proper divisors (89508700).

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

61278400 is a wasteful number, since it uses less digits than its factorization.

61278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38321 (or 38306 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 61278400 is about 7828.0521204192. The cubic root of 61278400 is about 394.2476733886.

The spelling of 61278400 in words is "sixty-one million, two hundred seventy-eight thousand, four hundred".