75878816 has 48 divisors (see below), whose sum is σ = 161935200. Its totient is φ = 34791168.

The previous prime is 75878807. The next prime is 75878827. The reversal of 75878816 is 61887857.

75878816 = T₂₄₀ + T₂₄₁ + ... + T₇₇₆.

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, 73955 + ... + 74973.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^75878816 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 75878816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80967600).

75878816 is an abundant number, since it is smaller than the sum of its proper divisors (86056384).

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

75878816 is a wasteful number, since it uses less digits than its factorization.

75878816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1213 counting only the distinct ones).

The product of its digits is 752640, while the sum is 50.

The square root of 75878816 is about 8710.8447351563. The cubic root of 75878816 is about 423.3571009176.

The spelling of 75878816 in words is "seventy-five million, eight hundred seventy-eight thousand, eight hundred sixteen".