77946240 has 64 divisors (see below), whose sum is σ = 248459760. Its totient is φ = 20785152.

The previous prime is 77946223. The next prime is 77946299. The reversal of 77946240 is 4264977.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 18379 + ... + 22218.

Almost surely, 2^77946240 is an apocalyptic number.

It is an amenable number.

77946240 is an abundant number, since it is smaller than the sum of its proper divisors (170513520).

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

77946240 is a wasteful number, since it uses less digits than its factorization.

77946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40619 (or 40607 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 77946240 is about 8828.7167810503. The cubic root of 77946240 is about 427.1676840148.

The spelling of 77946240 in words is "seventy-seven million, nine hundred forty-six thousand, two hundred forty".