7807940 has 48 divisors (see below), whose sum is σ = 19189632. Its totient is φ = 2612736.

The previous prime is 7807937. The next prime is 7807951. The reversal of 7807940 is 497087.

7807940 = T₅₈₁ + T₅₈₂ + ... + T₆₂₃.

7807940 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an Ulam number.

7807940 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 7807940.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5372 + ... + 6668.

It is an arithmetic number, because the mean of its divisors is an integer number (399784).

Almost surely, 2^7807940 is an apocalyptic number.

7807940 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 7807940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594816).

7807940 is an abundant number, since it is smaller than the sum of its proper divisors (11381692).

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

7807940 is a wasteful number, since it uses less digits than its factorization.

7807940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 7807940 is about 2794.2691352123. The cubic root of 7807940 is about 198.3865183889.

The spelling of 7807940 in words is "seven million, eight hundred seven thousand, nine hundred forty".