7802945280 has 216 divisors, whose sum is σ = 29074657248. Its totient is φ = 1920688128.

The previous prime is 7802945279. The next prime is 7802945309. The reversal of 7802945280 is 825492087.

7802945280 is a `hidden beast` number, since 7 + 80 + 294 + 5 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123709 + ... + 175811.

Almost surely, 2^7802945280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7802945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14537328624).

7802945280 is an abundant number, since it is smaller than the sum of its proper divisors (21271711968).

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

7802945280 is a wasteful number, since it uses less digits than its factorization.

7802945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52143 (or 52126 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 7802945280 is about 88334.2814540312. The cubic root of 7802945280 is about 1983.4420690960.

It can be divided in two parts, 7802945 and 280, that added together give a triangular number (7803225 = T₃₉₅₀).

The spelling of 7802945280 in words is "seven billion, eight hundred two million, nine hundred forty-five thousand, two hundred eighty".