77994240 has 144 divisors (see below), whose sum is σ = 262449600. Its totient is φ = 19685376.

The previous prime is 77994239. The next prime is 77994247. The reversal of 77994240 is 4249977.

It is a junction number, because it is equal to n+sod(n) for n = 77994192 and 77994201.

It is not an unprimeable number, because it can be changed into a prime (77994247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72426 + ... + 73494.

Almost surely, 2^77994240 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 77994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131224800).

77994240 is an abundant number, since it is smaller than the sum of its proper divisors (184455360).

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

77994240 is a wasteful number, since it uses less digits than its factorization.

77994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 77994240 is about 8831.4347645216. The cubic root of 77994240 is about 427.2553505972.

The spelling of 77994240 in words is "seventy-seven million, nine hundred ninety-four thousand, two hundred forty".