75406864 has 40 divisors (see below), whose sum is σ = 161017472. Its totient is φ = 33989760.

The previous prime is 75406861. The next prime is 75406867. The reversal of 75406864 is 46860457.

It is an interprime number because it is at equal distance from previous prime (75406861) and next prime (75406867).

It is not an unprimeable number, because it can be changed into a prime (75406861) 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 7 ways as a sum of consecutive naturals, for example, 4729 + ... + 13159.

Almost surely, 2^75406864 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 75406864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80508736).

75406864 is an abundant number, since it is smaller than the sum of its proper divisors (85610608).

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

75406864 is a wasteful number, since it uses less digits than its factorization.

75406864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8495 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 75406864 is about 8683.7125700935. The cubic root of 75406864 is about 422.4775409090.

The spelling of 75406864 in words is "seventy-five million, four hundred six thousand, eight hundred sixty-four".