7758972 has 72 divisors (see below), whose sum is σ = 21556080. Its totient is φ = 2338560.

The previous prime is 7758929. The next prime is 7758977. The reversal of 7758972 is 2798577.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7758977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27472 + ... + 27752.

It is an arithmetic number, because the mean of its divisors is an integer number (299390).

Almost surely, 2^7758972 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 7758972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10778040).

7758972 is an abundant number, since it is smaller than the sum of its proper divisors (13797108).

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

7758972 is a wasteful number, since it uses less digits than its factorization.

7758972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 358 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 7758972 is about 2785.4931340788. The cubic root of 7758972 is about 197.9709170630.

It can be divided in two parts, 77 and 58972, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 7758972 in words is "seven million, seven hundred fifty-eight thousand, nine hundred seventy-two".