77982072 has 64 divisors (see below), whose sum is σ = 223668480. Its totient is φ = 22194432.

The previous prime is 77982059. The next prime is 77982089. The reversal of 77982072 is 27028977.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51843 + ... + 53325.

It is an arithmetic number, because the mean of its divisors is an integer number (3494820).

Almost surely, 2^77982072 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 77982072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111834240).

77982072 is an abundant number, since it is smaller than the sum of its proper divisors (145686408).

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

77982072 is a wasteful number, since it uses less digits than its factorization.

77982072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 77982072 is about 8830.7458348658. The cubic root of 77982072 is about 427.2331305226.

It can be divided in two parts, 7798 and 2072, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 77982072 in words is "seventy-seven million, nine hundred eighty-two thousand, seventy-two".