75878880 has 192 divisors, whose sum is σ = 298142208. Its totient is φ = 15759360.

The previous prime is 75878879. The next prime is 75878903. The reversal of 75878880 is 8887857.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35934 + ... + 37986.

It is an arithmetic number, because the mean of its divisors is an integer number (1552824).

Almost surely, 2^75878880 is an apocalyptic number.

75878880 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 75878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149071104).

75878880 is an abundant number, since it is smaller than the sum of its proper divisors (222263328).

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

75878880 is a wasteful number, since it uses less digits than its factorization.

75878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 51.

The square root of 75878880 is about 8710.8484087372. The cubic root of 75878880 is about 423.3572199444.

The spelling of 75878880 in words is "seventy-five million, eight hundred seventy-eight thousand, eight hundred eighty".