77346240 has 224 divisors, whose sum is σ = 266858496. Its totient is φ = 18923520.

The previous prime is 77346233. The next prime is 77346253. The reversal of 77346240 is 4264377.

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 31 ways as a sum of consecutive naturals, for example, 684424 + ... + 684536.

Almost surely, 2^77346240 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 77346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133429248).

77346240 is an abundant number, since it is smaller than the sum of its proper divisors (189512256).

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

77346240 is a wasteful number, since it uses less digits than its factorization.

77346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 77346240 is about 8794.6711138052. The cubic root of 77346240 is about 426.0688023943.

The spelling of 77346240 in words is "seventy-seven million, three hundred forty-six thousand, two hundred forty".