7257978 has 96 divisors (see below), whose sum is σ = 20301120. Its totient is φ = 1905120.

The previous prime is 7257947. The next prime is 7257989. The reversal of 7257978 is 8797527.

7257978 is a `hidden beast` number, since 7 + 2 + 579 + 78 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34293 + ... + 34503.

It is an arithmetic number, because the mean of its divisors is an integer number (211470).

Almost surely, 2^7257978 is an apocalyptic number.

7257978 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7257978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150560).

7257978 is an abundant number, since it is smaller than the sum of its proper divisors (13043142).

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

7257978 is a wasteful number, since it uses less digits than its factorization.

7257978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

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

The square root of 7257978 is about 2694.0634736398. The cubic root of 7257978 is about 193.6147987743.

The spelling of 7257978 in words is "seven million, two hundred fifty-seven thousand, nine hundred seventy-eight".