64077408 has 72 divisors (see below), whose sum is σ = 183115296. Its totient is φ = 21254400.

The previous prime is 64077407. The next prime is 64077413. The reversal of 64077408 is 80477046.

It is a happy number.

64077408 is a `hidden beast` number, since 640 + 7 + 7 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64077401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77638 + ... + 78458.

It is an arithmetic number, because the mean of its divisors is an integer number (2543268).

Almost surely, 2^64077408 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 64077408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91557648).

64077408 is an abundant number, since it is smaller than the sum of its proper divisors (119037888).

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

64077408 is a wasteful number, since it uses less digits than its factorization.

64077408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 64077408 is about 8004.8365379938. The cubic root of 64077408 is about 400.1612016930.

The spelling of 64077408 in words is "sixty-four million, seventy-seven thousand, four hundred eight".