76973940 has 144 divisors (see below), whose sum is σ = 250024320. Its totient is φ = 19111680.

The previous prime is 76973929. The next prime is 76973957. The reversal of 76973940 is 4937967.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242662 + ... + 242978.

It is an arithmetic number, because the mean of its divisors is an integer number (1736280).

Almost surely, 2^76973940 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 76973940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125012160).

76973940 is an abundant number, since it is smaller than the sum of its proper divisors (173050380).

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

76973940 is a wasteful number, since it uses less digits than its factorization.

76973940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 76973940 is about 8773.4793554211. The cubic root of 76973940 is about 425.3840864632.

The spelling of 76973940 in words is "seventy-six million, nine hundred seventy-three thousand, nine hundred forty".