75082080 has 48 divisors (see below), whose sum is σ = 236510064. Its totient is φ = 20021760.

The previous prime is 75082061. The next prime is 75082099. The reversal of 75082080 is 8028057.

It is an interprime number because it is at equal distance from previous prime (75082061) and next prime (75082099).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77731 + ... + 78690.

It is an arithmetic number, because the mean of its divisors is an integer number (4927293).

Almost surely, 2^75082080 is an apocalyptic number.

It is an amenable number.

75082080 is an abundant number, since it is smaller than the sum of its proper divisors (161427984).

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

75082080 is a wasteful number, since it uses less digits than its factorization.

75082080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156439 (or 156431 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 75082080 is about 8664.9916330023. The cubic root of 75082080 is about 421.8701186815.

The spelling of 75082080 in words is "seventy-five million, eighty-two thousand, eighty".