76466040 has 256 divisors, whose sum is σ = 281318400. Its totient is φ = 16257024.

The previous prime is 76466029. The next prime is 76466059. The reversal of 76466040 is 4066467.

It is a junction number, because it is equal to n+sod(n) for n = 76465992 and 76466010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1047444 + ... + 1047516.

It is an arithmetic number, because the mean of its divisors is an integer number (1098900).

Almost surely, 2^76466040 is an apocalyptic number.

76466040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76466040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140659200).

76466040 is an abundant number, since it is smaller than the sum of its proper divisors (204852360).

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

76466040 is a wasteful number, since it uses less digits than its factorization.

76466040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 76466040 is about 8744.4862627830. The cubic root of 76466040 is about 424.4464118725.

The spelling of 76466040 in words is "seventy-six million, four hundred sixty-six thousand, forty".