7820680 has 128 divisors (see below), whose sum is σ = 22394880. Its totient is φ = 2396160.

The previous prime is 7820677. The next prime is 7820693. The reversal of 7820680 is 860287.

7820680 = T₂₃₇ + T₂₃₈ + ... + T₃₉₁.

It is a super-2 number, since 2×7820680² = 122326071324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a zygodrome in base 16.

It is a congruent number.

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, 147534 + ... + 147586.

It is an arithmetic number, because the mean of its divisors is an integer number (174960).

Almost surely, 2^7820680 is an apocalyptic number.

7820680 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 7820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197440).

7820680 is an abundant number, since it is smaller than the sum of its proper divisors (14574200).

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

7820680 is a wasteful number, since it uses less digits than its factorization.

7820680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 7820680 is about 2796.5478719307. The cubic root of 7820680 is about 198.4943603564.

The spelling of 7820680 in words is "seven million, eight hundred twenty thousand, six hundred eighty".