7833278880 has 384 divisors, whose sum is σ = 32184552960. Its totient is φ = 1741824000.

The previous prime is 7833278879. The next prime is 7833278881. The reversal of 7833278880 is 888723387.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7833278879) and next prime (7833278881).

It is a super-2 number, since 2×7833278880² (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 (7833278881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1115380 + ... + 1122380.

It is an arithmetic number, because the mean of its divisors is an integer number (83813940).

Almost surely, 2^7833278880 is an apocalyptic number.

7833278880 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 7833278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092276480).

7833278880 is an abundant number, since it is smaller than the sum of its proper divisors (24351274080).

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

7833278880 is a wasteful number, since it uses less digits than its factorization.

7833278880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7069 (or 7055 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 7833278880 is about 88505.8126904668. The cubic root of 7833278880 is about 1986.0089264940.

The spelling of 7833278880 in words is "seven billion, eight hundred thirty-three million, two hundred seventy-eight thousand, eight hundred eighty".