76856340 has 192 divisors, whose sum is σ = 251983872. Its totient is φ = 17318400.

The previous prime is 76856323. The next prime is 76856341. The reversal of 76856340 is 4365867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76856341) 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 63 ways as a sum of consecutive naturals, for example, 925939 + ... + 926021.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^76856340 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 76856340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

76856340 is an abundant number, since it is smaller than the sum of its proper divisors (175127532).

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

76856340 is a wasteful number, since it uses less digits than its factorization.

76856340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 76856340 is about 8766.7747775336. The cubic root of 76856340 is about 425.1673435578.

The spelling of 76856340 in words is "seventy-six million, eight hundred fifty-six thousand, three hundred forty".