77310240 has 288 divisors, whose sum is σ = 299920320. Its totient is φ = 16644096.

The previous prime is 77310227. The next prime is 77310257. The reversal of 77310240 is 4201377.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 77310240.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 446794 + ... + 446966.

It is an arithmetic number, because the mean of its divisors is an integer number (1041390).

Almost surely, 2^77310240 is an apocalyptic number.

77310240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149960160).

77310240 is an abundant number, since it is smaller than the sum of its proper divisors (222610080).

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

77310240 is a wasteful number, since it uses less digits than its factorization.

77310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 77310240 is about 8792.6241816650. The cubic root of 77310240 is about 426.0026890438.

The spelling of 77310240 in words is "seventy-seven million, three hundred ten thousand, two hundred forty".