77783040 has 168 divisors, whose sum is σ = 270909288. Its totient is φ = 20643840.

The previous prime is 77783023. The next prime is 77783059. The reversal of 77783040 is 4038777.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77782986 and 77783004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368535 + ... + 368745.

Almost surely, 2^77783040 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 77783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135454644).

77783040 is an abundant number, since it is smaller than the sum of its proper divisors (193126248).

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

77783040 is a wasteful number, since it uses less digits than its factorization.

77783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77783040 is about 8819.4693717933. The cubic root of 77783040 is about 426.8693481485.

The spelling of 77783040 in words is "seventy-seven million, seven hundred eighty-three thousand, forty".