7772480 has 56 divisors (see below), whose sum is σ = 18763488. Its totient is φ = 3066368.

The previous prime is 7772473. The next prime is 7772507. The reversal of 7772480 is 842777.

It is a super-2 number, since 2×7772480² = 120822890700800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7772480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34127 + ... + 34353.

Almost surely, 2^7772480 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 7772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381744).

7772480 is an abundant number, since it is smaller than the sum of its proper divisors (10991008).

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

7772480 is a wasteful number, since it uses less digits than its factorization.

7772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 7772480 is about 2787.9167849848. The cubic root of 7772480 is about 198.0857364302.

The spelling of 7772480 in words is "seven million, seven hundred seventy-two thousand, four hundred eighty".