75396464 has 80 divisors (see below), whose sum is σ = 177321984. Its totient is φ = 30585600.

The previous prime is 75396463. The next prime is 75396467. The reversal of 75396464 is 46469357.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (544320) is a multiple of the sum of its prime divisors (1120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75396463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70397 + ... + 71459.

Almost surely, 2^75396464 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 75396464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660992).

75396464 is an abundant number, since it is smaller than the sum of its proper divisors (101925520).

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

75396464 is a wasteful number, since it uses less digits than its factorization.

75396464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

The product of its digits is 544320, while the sum is 44.

The square root of 75396464 is about 8683.1137272294. The cubic root of 75396464 is about 422.4581175294.

The spelling of 75396464 in words is "seventy-five million, three hundred ninety-six thousand, four hundred sixty-four".