7970820 has 96 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 1781760.

The previous prime is 7970801. The next prime is 7970821. The reversal of 7970820 is 280797.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7970821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8116 + ... + 9044.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^7970820 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 7970820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

7970820 is an abundant number, since it is smaller than the sum of its proper divisors (18277500).

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

7970820 is a wasteful number, since it uses less digits than its factorization.

7970820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 7970820 is about 2823.2640684144. The cubic root of 7970820 is about 199.7565370826.

The spelling of 7970820 in words is "seven million, nine hundred seventy thousand, eight hundred twenty".