126278880 has 384 divisors, whose sum is σ = 508032000. Its totient is φ = 26191872.

The previous prime is 126278869. The next prime is 126278881. The reversal of 126278880 is 88872621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126278881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2140291 + ... + 2140349.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^126278880 is an apocalyptic number.

126278880 is a gapful number since it is divisible by the number (10) 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 126278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

126278880 is an abundant number, since it is smaller than the sum of its proper divisors (381753120).

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

126278880 is a wasteful number, since it uses less digits than its factorization.

126278880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 126278880 is about 11237.3875967682. The cubic root of 126278880 is about 501.6993909306.

The spelling of 126278880 in words is "one hundred twenty-six million, two hundred seventy-eight thousand, eight hundred eighty".