75790080 has 360 divisors, whose sum is σ = 293820912. Its totient is φ = 18579456.

The previous prime is 75790073. The next prime is 75790087. The reversal of 75790080 is 8009757.

75790080 is a `hidden beast` number, since 7 + 579 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (75790073) and next prime (75790087).

It is a tau number, because it is divible by the number of its divisors (360).

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 (75790087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762539 + ... + 1762581.

Almost surely, 2^75790080 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 75790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146910456).

75790080 is an abundant number, since it is smaller than the sum of its proper divisors (218030832).

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

75790080 is a wasteful number, since it uses less digits than its factorization.

75790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 75790080 is about 8705.7498241105. The cubic root of 75790080 is about 423.1920057857.

The spelling of 75790080 in words is "seventy-five million, seven hundred ninety thousand, eighty".