7816464 has 120 divisors (see below), whose sum is σ = 24141312. Its totient is φ = 2350080.

The previous prime is 7816463. The next prime is 7816477. The reversal of 7816464 is 4646187.

7816464 is a `hidden beast` number, since 7 + 8 + 1 + 646 + 4 = 666.

It is a super-2 number, since 2×7816464² = 122194218926592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7816463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75837 + ... + 75939.

Almost surely, 2^7816464 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 7816464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070656).

7816464 is an abundant number, since it is smaller than the sum of its proper divisors (16324848).

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

7816464 is a wasteful number, since it uses less digits than its factorization.

7816464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7816464 is about 2795.7939838264. The cubic root of 7816464 is about 198.4586855964.

The spelling of 7816464 in words is "seven million, eight hundred sixteen thousand, four hundred sixty-four".