77240856 has 128 divisors (see below), whose sum is σ = 245952000. Its totient is φ = 20039040.

The previous prime is 77240851. The next prime is 77240869. The reversal of 77240856 is 65804277.

It is a super-2 number, since 2×77240856² = 11932299671225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77240851) by changing a digit.

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, 90126 + ... + 90978.

It is an arithmetic number, because the mean of its divisors is an integer number (1921500).

Almost surely, 2^77240856 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 77240856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122976000).

77240856 is an abundant number, since it is smaller than the sum of its proper divisors (168711144).

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

77240856 is a wasteful number, since it uses less digits than its factorization.

77240856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 77240856 is about 8788.6777162438. The cubic root of 77240856 is about 425.8752086590.

The spelling of 77240856 in words is "seventy-seven million, two hundred forty thousand, eight hundred fifty-six".