75873280 has 176 divisors, whose sum is σ = 218128320. Its totient is φ = 24772608.

The previous prime is 75873269. The next prime is 75873293. The reversal of 75873280 is 8237857.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039324 + ... + 1039396.

Almost surely, 2^75873280 is an apocalyptic number.

75873280 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 75873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109064160).

75873280 is an abundant number, since it is smaller than the sum of its proper divisors (142255040).

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

75873280 is a wasteful number, since it uses less digits than its factorization.

75873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 75873280 is about 8710.5269645412. The cubic root of 75873280 is about 423.3468048427.

The spelling of 75873280 in words is "seventy-five million, eight hundred seventy-three thousand, two hundred eighty".