77730240 has 224 divisors, whose sum is σ = 289681920. Its totient is φ = 17289216.

The previous prime is 77730227. The next prime is 77730313. The reversal of 77730240 is 4203777.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77730198 and 77730207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288826 + ... + 289094.

Almost surely, 2^77730240 is an apocalyptic number.

77730240 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 77730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

77730240 is an abundant number, since it is smaller than the sum of its proper divisors (211951680).

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

77730240 is a wasteful number, since it uses less digits than its factorization.

77730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 30.

The square root of 77730240 is about 8816.4754862700. The cubic root of 77730240 is about 426.7727383847.

The spelling of 77730240 in words is "seventy-seven million, seven hundred thirty thousand, two hundred forty".