76866840 has 128 divisors (see below), whose sum is σ = 259084800. Its totient is φ = 20269440.

The previous prime is 76866833. The next prime is 76866847. The reversal of 76866840 is 4866867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76866833) and next prime (76866847).

It is a super-2 number, since 2×76866840² = 11817022183171200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76866847) 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, 110895 + ... + 111585.

It is an arithmetic number, because the mean of its divisors is an integer number (2024100).

Almost surely, 2^76866840 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 76866840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129542400).

76866840 is an abundant number, since it is smaller than the sum of its proper divisors (182217960).

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

76866840 is a wasteful number, since it uses less digits than its factorization.

76866840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 76866840 is about 8767.3736090120. The cubic root of 76866840 is about 425.1867045883.

The spelling of 76866840 in words is "seventy-six million, eight hundred sixty-six thousand, eight hundred forty".