75613440 has 288 divisors, whose sum is σ = 288449280. Its totient is φ = 16515072.

The previous prime is 75613429. The next prime is 75613487. The reversal of 75613440 is 4431657.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75613398 and 75613407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779472 + ... + 779568.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 2^75613440 is an apocalyptic number.

75613440 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 75613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144224640).

75613440 is an abundant number, since it is smaller than the sum of its proper divisors (212835840).

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

75613440 is a wasteful number, since it uses less digits than its factorization.

75613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 75613440 is about 8695.5988867932. The cubic root of 75613440 is about 422.8629795013.

It can be divided in two parts, 756 and 13440, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 75613440 in words is "seventy-five million, six hundred thirteen thousand, four hundred forty".