77790240 has 192 divisors, whose sum is σ = 297198720. Its totient is φ = 18846720.

The previous prime is 77790239. The next prime is 77790241. The reversal of 77790240 is 4209777.

It is an interprime number because it is at equal distance from previous prime (77790239) and next prime (77790241).

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 = 77790195 and 77790204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77790241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46702 + ... + 48338.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^77790240 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 77790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

77790240 is an abundant number, since it is smaller than the sum of its proper divisors (219408480).

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

77790240 is a wasteful number, since it uses less digits than its factorization.

77790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 77790240 is about 8819.8775501704. The cubic root of 77790240 is about 426.8825188194.

The spelling of 77790240 in words is "seventy-seven million, seven hundred ninety thousand, two hundred forty".