7958720 has 224 divisors, whose sum is σ = 26334720. Its totient is φ = 2211840.

The previous prime is 7958693. The next prime is 7958749. The reversal of 7958720 is 278597.

7958720 = T₄₃ + T₄₄ + ... + T₃₆₂.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418871 + ... + 418889.

Almost surely, 2^7958720 is an apocalyptic number.

7958720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

7958720 is an abundant number, since it is smaller than the sum of its proper divisors (18376000).

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

7958720 is a wasteful number, since it uses less digits than its factorization.

7958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 7958720 is about 2821.1203448276. The cubic root of 7958720 is about 199.6554066180.

The spelling of 7958720 in words is "seven million, nine hundred fifty-eight thousand, seven hundred twenty".