76434240 has 112 divisors (see below), whose sum is σ = 245351808. Its totient is φ = 20158464.

The previous prime is 76434233. The next prime is 76434257. The reversal of 76434240 is 4243467.

76434240 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 76434198 and 76434207.

It is a congruent number.

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, 98494 + ... + 99266.

Almost surely, 2^76434240 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 76434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122675904).

76434240 is an abundant number, since it is smaller than the sum of its proper divisors (168917568).

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

76434240 is a wasteful number, since it uses less digits than its factorization.

76434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 76434240 is about 8742.6677850642. The cubic root of 76434240 is about 424.3875654120.

The spelling of 76434240 in words is "seventy-six million, four hundred thirty-four thousand, two hundred forty".