7772464 has 40 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 3214848.

The previous prime is 7772461. The next prime is 7772473. The reversal of 7772464 is 4642777.

It is a happy number.

It is a super-2 number, since 2×7772464² = 120822393262592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7772461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2052 + ... + 4444.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^7772464 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 7772464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

7772464 is an abundant number, since it is smaller than the sum of its proper divisors (10038896).

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

7772464 is a wasteful number, since it uses less digits than its factorization.

7772464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2431 counting only the distinct ones).

The product of its digits is 65856, while the sum is 37.

The square root of 7772464 is about 2787.9139154572. The cubic root of 7772464 is about 198.0856005073.

The spelling of 7772464 in words is "seven million, seven hundred seventy-two thousand, four hundred sixty-four".