77983040 has 56 divisors (see below), whose sum is σ = 186476640. Its totient is φ = 31062528.

The previous prime is 77983027. The next prime is 77983067. The reversal of 77983040 is 4038977.

It is a junction number, because it is equal to n+sod(n) for n = 77982985 and 77983003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120959 + ... + 121601.

It is an arithmetic number, because the mean of its divisors is an integer number (3329940).

Almost surely, 2^77983040 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 77983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93238320).

77983040 is an abundant number, since it is smaller than the sum of its proper divisors (108493600).

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

77983040 is a wasteful number, since it uses less digits than its factorization.

77983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 77983040 is about 8830.8006432033. The cubic root of 77983040 is about 427.2348982792.

The spelling of 77983040 in words is "seventy-seven million, nine hundred eighty-three thousand, forty".