126779040 has 96 divisors (see below), whose sum is σ = 443741760. Its totient is φ = 33806592.

The previous prime is 126778999. The next prime is 126779041. The reversal of 126779040 is 40977621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 126778986 and 126779004.

It is not an unprimeable number, because it can be changed into a prime (126779041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10354 + ... + 18993.

It is an arithmetic number, because the mean of its divisors is an integer number (4622310).

Almost surely, 2^126779040 is an apocalyptic number.

126779040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126779040 is an abundant number, since it is smaller than the sum of its proper divisors (316962720).

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

126779040 is a wasteful number, since it uses less digits than its factorization.

126779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29371 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 126779040 is about 11259.6198870122. The cubic root of 126779040 is about 502.3608882017.

The spelling of 126779040 in words is "one hundred twenty-six million, seven hundred seventy-nine thousand, forty".