76389456 has 160 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 20620800.

The previous prime is 76389433. The next prime is 76389473. The reversal of 76389456 is 65498367.

76389456 = T₃₈₆ + T₃₈₇ + ... + T₈₀₁.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

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, 212605 + ... + 212963.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^76389456 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 76389456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

76389456 is an abundant number, since it is smaller than the sum of its proper divisors (163595184).

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

76389456 is a wasteful number, since it uses less digits than its factorization.

76389456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 76389456 is about 8740.1061778448. The cubic root of 76389456 is about 424.3046641457.

The spelling of 76389456 in words is "seventy-six million, three hundred eighty-nine thousand, four hundred fifty-six".