76973028 has 96 divisors (see below), whose sum is σ = 210954240. Its totient is φ = 21594240.

The previous prime is 76973023. The next prime is 76973041. The reversal of 76973028 is 82037967.

76973028 is a nontrivial binomial coefficient, being equal to C(12408, 2).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76973023) 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, 117550 + ... + 118202.

It is an arithmetic number, because the mean of its divisors is an integer number (2197440).

Almost surely, 2^76973028 is an apocalyptic number.

76973028 is the 12407-th triangular number and also the 6204-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76973028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105477120).

76973028 is an abundant number, since it is smaller than the sum of its proper divisors (133981212).

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

76973028 is a wasteful number, since it uses less digits than its factorization.

76973028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 76973028 is about 8773.4273804483. The cubic root of 76973028 is about 425.3824064495.

The spelling of 76973028 in words is "seventy-six million, nine hundred seventy-three thousand, twenty-eight".