7842798810 has 512 divisors, whose sum is σ = 27639152640. Its totient is φ = 1534982400.

The previous prime is 7842798809. The next prime is 7842798811. The reversal of 7842798810 is 188972487.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7842798809) and next prime (7842798811).

It is a super-2 number, since 2×7842798810² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7842798811) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27712929 + ... + 27713211.

It is an arithmetic number, because the mean of its divisors is an integer number (53982720).

Almost surely, 2^7842798810 is an apocalyptic number.

7842798810 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7842798810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819576320).

7842798810 is an abundant number, since it is smaller than the sum of its proper divisors (19796353830).

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

7842798810 is a wasteful number, since it uses less digits than its factorization.

7842798810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 7842798810 is about 88559.5777428958. The cubic root of 7842798810 is about 1986.8131453576.

The spelling of 7842798810 in words is "seven billion, eight hundred forty-two million, seven hundred ninety-eight thousand, eight hundred ten".