76029840 has 120 divisors (see below), whose sum is σ = 264858048. Its totient is φ = 20269440.

The previous prime is 76029823. The next prime is 76029847. The reversal of 76029840 is 4892067.

76029840 is a `hidden beast` number, since 7 + 602 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 76029795 and 76029804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76029847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17485 + ... + 21395.

Almost surely, 2^76029840 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 76029840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132429024).

76029840 is an abundant number, since it is smaller than the sum of its proper divisors (188828208).

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

76029840 is a wasteful number, since it uses less digits than its factorization.

76029840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 76029840 is about 8719.5091604975. The cubic root of 76029840 is about 423.6377884417.

The spelling of 76029840 in words is "seventy-six million, twenty-nine thousand, eight hundred forty".