76434048 has 96 divisors (see below), whose sum is σ = 225207840. Its totient is φ = 24869376.

The previous prime is 76434011. The next prime is 76434049. The reversal of 76434048 is 84043467.

76434048 is a `hidden beast` number, since 7 + 643 + 4 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (76434049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48765 + ... + 50307.

It is an arithmetic number, because the mean of its divisors is an integer number (2345915).

Almost surely, 2^76434048 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 76434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112603920).

76434048 is an abundant number, since it is smaller than the sum of its proper divisors (148773792).

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

76434048 is a wasteful number, since it uses less digits than its factorization.

76434048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 76434048 is about 8742.6568044274. The cubic root of 76434048 is about 424.3872100631.

The spelling of 76434048 in words is "seventy-six million, four hundred thirty-four thousand, forty-eight".