76893840 has 160 divisors (see below), whose sum is σ = 268316160. Its totient is φ = 20238336.

The previous prime is 76893821. The next prime is 76893841. The reversal of 76893840 is 4839867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76893841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 209337 + ... + 209703.

It is an arithmetic number, because the mean of its divisors is an integer number (1676976).

Almost surely, 2^76893840 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 76893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134158080).

76893840 is an abundant number, since it is smaller than the sum of its proper divisors (191422320).

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

76893840 is a wasteful number, since it uses less digits than its factorization.

76893840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 76893840 is about 8768.9132736047. The cubic root of 76893840 is about 425.2364820005.

The spelling of 76893840 in words is "seventy-six million, eight hundred ninety-three thousand, eight hundred forty".