76859424 has 72 divisors (see below), whose sum is σ = 220776192. Its totient is φ = 25361280.

The previous prime is 76859407. The next prime is 76859443. The reversal of 76859424 is 42495867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×76859424² = 11814742115223552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76859424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28369 + ... + 30959.

It is an arithmetic number, because the mean of its divisors is an integer number (3066336).

Almost surely, 2^76859424 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 76859424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110388096).

76859424 is an abundant number, since it is smaller than the sum of its proper divisors (143916768).

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

76859424 is a wasteful number, since it uses less digits than its factorization.

76859424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2699 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 76859424 is about 8766.9506671362. The cubic root of 76859424 is about 425.1730303519.

The spelling of 76859424 in words is "seventy-six million, eight hundred fifty-nine thousand, four hundred twenty-four".