76335840 has 144 divisors (see below), whose sum is σ = 297749088. Its totient is φ = 17445888.

The previous prime is 76335839. The next prime is 76335851. The reversal of 76335840 is 4853367.

It is a happy number.

76335840 is a `hidden beast` number, since 76 + 3 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 76335795 and 76335804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6294 + ... + 13866.

It is an arithmetic number, because the mean of its divisors is an integer number (2067702).

Almost surely, 2^76335840 is an apocalyptic number.

76335840 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 76335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148874544).

76335840 is an abundant number, since it is smaller than the sum of its proper divisors (221413248).

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

76335840 is a wasteful number, since it uses less digits than its factorization.

76335840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 76335840 is about 8737.0383998241. The cubic root of 76335840 is about 424.2053710207.

The spelling of 76335840 in words is "seventy-six million, three hundred thirty-five thousand, eight hundred forty".