8077464 has 48 divisors (see below), whose sum is σ = 22393800. Its totient is φ = 2628864.

The previous prime is 8077463. The next prime is 8077471. The reversal of 8077464 is 4647708.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (8077463) 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, 1792 + ... + 4400.

Almost surely, 2^8077464 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 8077464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196900).

8077464 is an abundant number, since it is smaller than the sum of its proper divisors (14316336).

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

8077464 is a wasteful number, since it uses less digits than its factorization.

8077464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2657 counting only the distinct ones).

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

The square root of 8077464 is about 2842.0879648596. The cubic root of 8077464 is about 200.6434609035.

The spelling of 8077464 in words is "eight million, seventy-seven thousand, four hundred sixty-four".