761625540 has 108 divisors (see below), whose sum is σ = 2501746884. Its totient is φ = 187469568.

The previous prime is 761625533. The next prime is 761625541. The reversal of 761625540 is 45526167.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 152917956 + 608707584 = 12366^2 + 24672^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 761625495 and 761625504.

It is not an unprimeable number, because it can be changed into a prime (761625541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17902 + ... + 42938.

It is an arithmetic number, because the mean of its divisors is an integer number (23164323).

Almost surely, 2^761625540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761625540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250873442).

761625540 is an abundant number, since it is smaller than the sum of its proper divisors (1740121344).

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

761625540 is a wasteful number, since it uses less digits than its factorization.

761625540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25078 (or 25060 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 761625540 is about 27597.5640229351. The cubic root of 761625540 is about 913.2306936476.

The spelling of 761625540 in words is "seven hundred sixty-one million, six hundred twenty-five thousand, five hundred forty".