75661040 has 160 divisors (see below), whose sum is σ = 228318720. Its totient is φ = 22643712.

The previous prime is 75661009. The next prime is 75661043. The reversal of 75661040 is 4016657.

It is a junction number, because it is equal to n+sod(n) for n = 75660994 and 75661012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75661043) 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 31 ways as a sum of consecutive naturals, for example, 138047 + ... + 138593.

It is an arithmetic number, because the mean of its divisors is an integer number (1426992).

Almost surely, 2^75661040 is an apocalyptic number.

75661040 is a gapful number since it is divisible by the number (70) 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 75661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114159360).

75661040 is an abundant number, since it is smaller than the sum of its proper divisors (152657680).

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

75661040 is a wasteful number, since it uses less digits than its factorization.

75661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 75661040 is about 8698.3354729511. The cubic root of 75661040 is about 422.9516941337.

Adding to 75661040 its reverse (4016657), we get a palindrome (79677697).

The spelling of 75661040 in words is "seventy-five million, six hundred sixty-one thousand, forty".