75358080 has 384 divisors, whose sum is σ = 313956000. Its totient is φ = 17031168.

The previous prime is 75358079. The next prime is 75358081. The reversal of 75358080 is 8085357.

75358080 = 410² + 411² + ... + 665².

It is a happy number.

75358080 is a `hidden beast` number, since 75 + 3 + 580 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (75358079) and next prime (75358081).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75358081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846676 + ... + 846764.

Almost surely, 2^75358080 is an apocalyptic number.

75358080 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 75358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156978000).

75358080 is an abundant number, since it is smaller than the sum of its proper divisors (238597920).

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

75358080 is a wasteful number, since it uses less digits than its factorization.

75358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 75358080 is about 8680.9031788173. The cubic root of 75358080 is about 422.3864148523.

The spelling of 75358080 in words is "seventy-five million, three hundred fifty-eight thousand, eighty".