7792878240 has 384 divisors, whose sum is σ = 31840542720. Its totient is φ = 1743012864.

The previous prime is 7792878229. The next prime is 7792878257. The reversal of 7792878240 is 428782977.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1418539 + ... + 1424021.

It is an arithmetic number, because the mean of its divisors is an integer number (82918080).

Almost surely, 2^7792878240 is an apocalyptic number.

7792878240 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 7792878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920271360).

7792878240 is an abundant number, since it is smaller than the sum of its proper divisors (24047664480).

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

7792878240 is a wasteful number, since it uses less digits than its factorization.

7792878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 7792878240 is about 88277.2804293381. The cubic root of 7792878240 is about 1982.5887167986.

The spelling of 7792878240 in words is "seven billion, seven hundred ninety-two million, eight hundred seventy-eight thousand, two hundred forty".