126797580 has 144 divisors (see below), whose sum is σ = 473438784. Its totient is φ = 26749440.

The previous prime is 126797579. The next prime is 126797591. The reversal of 126797580 is 85797621.

126797580 is a `hidden beast` number, since 1 + 2 + 67 + 9 + 7 + 580 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12510 + ... + 20250.

Almost surely, 2^126797580 is an apocalyptic number.

126797580 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 126797580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236719392).

126797580 is an abundant number, since it is smaller than the sum of its proper divisors (346641204).

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

126797580 is a wasteful number, since it uses less digits than its factorization.

126797580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 126797580 is about 11260.4431529137. The cubic root of 126797580 is about 502.3853752065.

The spelling of 126797580 in words is "one hundred twenty-six million, seven hundred ninety-seven thousand, five hundred eighty".