7822069920 has 432 divisors, whose sum is σ = 32882384808. Its totient is φ = 1682472960.

The previous prime is 7822069907. The next prime is 7822069943. The reversal of 7822069920 is 299602287.

It can be written as a sum of positive squares in 4 ways, for example, as 7794064656 + 28005264 = 88284^2 + 5292^2 .

It is a super-2 number, since 2×7822069920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1196260 + ... + 1202780.

Almost surely, 2^7822069920 is an apocalyptic number.

7822069920 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 7822069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441192404).

7822069920 is an abundant number, since it is smaller than the sum of its proper divisors (25060314888).

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

7822069920 is a wasteful number, since it uses less digits than its factorization.

7822069920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6573 (or 6555 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7822069920 is about 88442.4667227232. The cubic root of 7822069920 is about 1985.0611870900.

It can be divided in two parts, 782 and 2069920, that added together give a palindrome (2070702).

The spelling of 7822069920 in words is "seven billion, eight hundred twenty-two million, sixty-nine thousand, nine hundred twenty".