76967940 has 96 divisors (see below), whose sum is σ = 247451904. Its totient is φ = 17510400.

The previous prime is 76967939. The next prime is 76967941. The reversal of 76967940 is 4976967.

It is an interprime number because it is at equal distance from previous prime (76967939) and next prime (76967941).

It is a self number, because there is not a number n which added to its sum of digits gives 76967940.

It is not an unprimeable number, because it can be changed into a prime (76967941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168192 + ... + 168648.

It is an arithmetic number, because the mean of its divisors is an integer number (2577624).

Almost surely, 2^76967940 is an apocalyptic number.

76967940 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 76967940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123725952).

76967940 is an abundant number, since it is smaller than the sum of its proper divisors (170483964).

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

76967940 is a wasteful number, since it uses less digits than its factorization.

76967940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 76967940 is about 8773.1374091598. The cubic root of 76967940 is about 425.3730334980.

The spelling of 76967940 in words is "seventy-six million, nine hundred sixty-seven thousand, nine hundred forty".