75738320 has 90 divisors (see below), whose sum is σ = 206325522. Its totient is φ = 25780608.

The previous prime is 75738319. The next prime is 75738329. The reversal of 75738320 is 2383757.

It can be written as a sum of positive squares in only one way, i.e., 60590656 + 15147664 = 7784^2 + 3892^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75738329) 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 17 ways as a sum of consecutive naturals, for example, 544811 + ... + 544949.

Almost surely, 2^75738320 is an apocalyptic number.

75738320 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 75738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103162761).

75738320 is an abundant number, since it is smaller than the sum of its proper divisors (130587202).

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

75738320 is a wasteful number, since it uses less digits than its factorization.

75738320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 75738320 is about 8702.7765684292. The cubic root of 75738320 is about 423.0956457406.

Multiplying 75738320 by its product of nonzero digits (35280), we get a square (2672047929600 = 1634640²).

The spelling of 75738320 in words is "seventy-five million, seven hundred thirty-eight thousand, three hundred twenty".