76343040 has 216 divisors, whose sum is σ = 276798480. Its totient is φ = 19924992.

The previous prime is 76343027. The next prime is 76343063. The reversal of 76343040 is 4034367.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 76342995 and 76343013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1624297 + ... + 1624343.

Almost surely, 2^76343040 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 76343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138399240).

76343040 is an abundant number, since it is smaller than the sum of its proper divisors (200455440).

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

76343040 is an equidigital number, since it uses as much as digits as its factorization.

76343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 76343040 is about 8737.4504290439. The cubic root of 76343040 is about 424.2187076249.

The spelling of 76343040 in words is "seventy-six million, three hundred forty-three thousand, forty".