77649408 has 160 divisors (see below), whose sum is σ = 237172320. Its totient is φ = 25067520.

The previous prime is 77649379. The next prime is 77649433. The reversal of 77649408 is 80494677.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566716 + ... + 566852.

It is an arithmetic number, because the mean of its divisors is an integer number (1482327).

Almost surely, 2^77649408 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 77649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118586160).

77649408 is an abundant number, since it is smaller than the sum of its proper divisors (159522912).

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

77649408 is a wasteful number, since it uses less digits than its factorization.

77649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 77649408 is about 8811.8901491110. The cubic root of 77649408 is about 426.6247528271.

The spelling of 77649408 in words is "seventy-seven million, six hundred forty-nine thousand, four hundred eight".