625121280 has 768 divisors, whose sum is σ = 2830464000. Its totient is φ = 127401984.

The previous prime is 625121279. The next prime is 625121309. The reversal of 625121280 is 82121526.

It is a happy number.

625121280 is a `hidden beast` number, since 62 + 512 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×625121280² = 781553229417676800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32901111 + ... + 32901129.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^625121280 is an apocalyptic number.

625121280 is a gapful number since it is divisible by the number (60) 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 625121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232000).

625121280 is an abundant number, since it is smaller than the sum of its proper divisors (2205342720).

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

625121280 is a wasteful number, since it uses less digits than its factorization.

625121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 625121280 is about 25002.4254823407. The cubic root of 625121280 is about 855.0432726637.

The spelling of 625121280 in words is "six hundred twenty-five million, one hundred twenty-one thousand, two hundred eighty".