76343904 has 192 divisors, whose sum is σ = 274337280. Its totient is φ = 20113920.

The previous prime is 76343893. The next prime is 76343977. The reversal of 76343904 is 40934367.

It is a super-2 number, since 2×76343904² = 11656783355922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 78139 + ... + 79109.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^76343904 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 76343904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

76343904 is an abundant number, since it is smaller than the sum of its proper divisors (197993376).

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

76343904 is a wasteful number, since it uses less digits than its factorization.

76343904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 76343904 is about 8737.4998712446. The cubic root of 76343904 is about 424.2203079611.

The spelling of 76343904 in words is "seventy-six million, three hundred forty-three thousand, nine hundred four".