76316840 has 64 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 29756160.

The previous prime is 76316837. The next prime is 76316843. The reversal of 76316840 is 4861367.

It is an interprime number because it is at equal distance from previous prime (76316837) and next prime (76316843).

It is a super-3 number, since 3×76316840³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76316840.

It is not an unprimeable number, because it can be changed into a prime (76316843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421550 + ... + 421730.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^76316840 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 76316840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

76316840 is an abundant number, since it is smaller than the sum of its proper divisors (99800920).

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

76316840 is a wasteful number, since it uses less digits than its factorization.

76316840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 76316840 is about 8735.9510071886. The cubic root of 76316840 is about 424.1701731772.

The spelling of 76316840 in words is "seventy-six million, three hundred sixteen thousand, eight hundred forty".