127754820 has 144 divisors (see below), whose sum is σ = 407516928. Its totient is φ = 33592320.

The previous prime is 127754797. The next prime is 127754827. The reversal of 127754820 is 28457721.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (127754827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471285 + ... + 471555.

Almost surely, 2^127754820 is an apocalyptic number.

127754820 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 127754820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203758464).

127754820 is an abundant number, since it is smaller than the sum of its proper divisors (279762108).

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

127754820 is a wasteful number, since it uses less digits than its factorization.

127754820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 127754820 is about 11302.8677776925. The cubic root of 127754820 is about 503.6464357003.

The spelling of 127754820 in words is "one hundred twenty-seven million, seven hundred fifty-four thousand, eight hundred twenty".