77349456 has 120 divisors (see below), whose sum is σ = 241413120. Its totient is φ = 22975488.

The previous prime is 77349431. The next prime is 77349463. The reversal of 77349456 is 65494377.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45681 + ... + 47343.

It is an arithmetic number, because the mean of its divisors is an integer number (2011776).

Almost surely, 2^77349456 is an apocalyptic number.

77349456 is a gapful number since it is divisible by the number (76) 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 77349456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120706560).

77349456 is an abundant number, since it is smaller than the sum of its proper divisors (164063664).

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

77349456 is a wasteful number, since it uses less digits than its factorization.

77349456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1704 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 77349456 is about 8794.8539498959. The cubic root of 77349456 is about 426.0747075220.

The spelling of 77349456 in words is "seventy-seven million, three hundred forty-nine thousand, four hundred fifty-six".