125040780 has 192 divisors, whose sum is σ = 421303680. Its totient is φ = 30670848.

The previous prime is 125040761. The next prime is 125040787. The reversal of 125040780 is 87040521.

125040780 is a `hidden beast` number, since 1 + 250 + 407 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125040787) 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, 486412 + ... + 486668.

It is an arithmetic number, because the mean of its divisors is an integer number (2194290).

Almost surely, 2^125040780 is an apocalyptic number.

125040780 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 125040780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210651840).

125040780 is an abundant number, since it is smaller than the sum of its proper divisors (296262900).

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

125040780 is a wasteful number, since it uses less digits than its factorization.

125040780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 125040780 is about 11182.1634758217. The cubic root of 125040780 is about 500.0543674215.

The spelling of 125040780 in words is "one hundred twenty-five million, forty thousand, seven hundred eighty".