75830976 has 252 divisors, whose sum is σ = 253791720. Its totient is φ = 21565440.

The previous prime is 75830959. The next prime is 75830981. The reversal of 75830976 is 67903857.

It is a happy number.

It is a super-2 number, since 2×75830976² = 11500673842225152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1849516 + ... + 1849556.

It is an arithmetic number, because the mean of its divisors is an integer number (1007110).

Almost surely, 2^75830976 is an apocalyptic number.

75830976 is a gapful number since it is divisible by the number (76) 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 75830976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126895860).

75830976 is an abundant number, since it is smaller than the sum of its proper divisors (177960744).

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

75830976 is a wasteful number, since it uses less digits than its factorization.

75830976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 75830976 is about 8708.0982998586. The cubic root of 75830976 is about 423.2681096254.

The spelling of 75830976 in words is "seventy-five million, eight hundred thirty thousand, nine hundred seventy-six".