76483440 has 400 divisors, whose sum is σ = 307882080. Its totient is φ = 17418240.

The previous prime is 76483439. The next prime is 76483471. The reversal of 76483440 is 4438467.

76483440 is a `hidden beast` number, since 7 + 648 + 3 + 4 + 4 + 0 = 666.

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 = 76483395 and 76483404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2067102 + ... + 2067138.

Almost surely, 2^76483440 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 76483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941040).

76483440 is an abundant number, since it is smaller than the sum of its proper divisors (231398640).

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

76483440 is a wasteful number, since it uses less digits than its factorization.

76483440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

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

The square root of 76483440 is about 8745.4811188407. The cubic root of 76483440 is about 424.4786039735.

The spelling of 76483440 in words is "seventy-six million, four hundred eighty-three thousand, four hundred forty".