785980125 has 256 divisors, whose sum is σ = 1869004800. Its totient is φ = 317260800.

The previous prime is 785980121. The next prime is 785980141. The reversal of 785980125 is 521089587.

It is a happy number.

It is not a de Polignac number, because 785980125 - 2² = 785980121 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785980121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7630824 + ... + 7630926.

It is an arithmetic number, because the mean of its divisors is an integer number (7300800).

Almost surely, 2^785980125 is an apocalyptic number.

785980125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

785980125 is an abundant number, since it is smaller than the sum of its proper divisors (1083024675).

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

785980125 is a wasteful number, since it uses less digits than its factorization.

785980125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 785980125 is about 28035.3370766253. The cubic root of 785980125 is about 922.8629017037.

The spelling of 785980125 in words is "seven hundred eighty-five million, nine hundred eighty thousand, one hundred twenty-five".