76429440 has 128 divisors (see below), whose sum is σ = 270748800. Its totient is φ = 20376576.

The previous prime is 76429429. The next prime is 76429469. The reversal of 76429440 is 4492467.

76429440 is a `hidden beast` number, since 7 + 642 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 76429395 and 76429404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15069 + ... + 19491.

It is an arithmetic number, because the mean of its divisors is an integer number (2115225).

Almost surely, 2^76429440 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 76429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135374400).

76429440 is an abundant number, since it is smaller than the sum of its proper divisors (194319360).

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

76429440 is a wasteful number, since it uses less digits than its factorization.

76429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76429440 is about 8742.3932650047. The cubic root of 76429440 is about 424.3786815098.

The spelling of 76429440 in words is "seventy-six million, four hundred twenty-nine thousand, four hundred forty".