126408780 has 72 divisors (see below), whose sum is σ = 385476000. Its totient is φ = 33530112.

The previous prime is 126408757. The next prime is 126408797. The reversal of 126408780 is 87804621.

126408780 is a `hidden beast` number, since 1 + 2 + 640 + 8 + 7 + 8 + 0 = 666.

It is a super-2 number, since 2×126408780² = 31958359322176800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34056 + ... + 37584.

Almost surely, 2^126408780 is an apocalyptic number.

126408780 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 126408780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192738000).

126408780 is an abundant number, since it is smaller than the sum of its proper divisors (259067220).

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

126408780 is a wasteful number, since it uses less digits than its factorization.

126408780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 126408780 is about 11243.1659242404. The cubic root of 126408780 is about 501.8713606143.

The spelling of 126408780 in words is "one hundred twenty-six million, four hundred eight thousand, seven hundred eighty".