75949840 has 80 divisors (see below), whose sum is σ = 192398400. Its totient is φ = 27772416.

The previous prime is 75949837. The next prime is 75949843. The reversal of 75949840 is 4894957.

75949840 = 891² + 892² + ... + 977².

It is an interprime number because it is at equal distance from previous prime (75949837) and next prime (75949843).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (75949843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43219 + ... + 44941.

It is an arithmetic number, because the mean of its divisors is an integer number (2404980).

Almost surely, 2^75949840 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 75949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96199200).

75949840 is an abundant number, since it is smaller than the sum of its proper divisors (116448560).

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

75949840 is a wasteful number, since it uses less digits than its factorization.

75949840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 75949840 is about 8714.9205389378. The cubic root of 75949840 is about 423.4891497977.

The spelling of 75949840 in words is "seventy-five million, nine hundred forty-nine thousand, eight hundred forty".