7778493828 has 360 divisors, whose sum is σ = 25236398880. Its totient is φ = 2077125120.

The previous prime is 7778493791. The next prime is 7778493851. The reversal of 7778493828 is 8283948777.

7778493828 is a `hidden beast` number, since 77 + 78 + 493 + 8 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32275788 + ... + 32276028.

It is an arithmetic number, because the mean of its divisors is an integer number (70101108).

Almost surely, 2^7778493828 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 7778493828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618199440).

7778493828 is an abundant number, since it is smaller than the sum of its proper divisors (17457905052).

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

7778493828 is a wasteful number, since it uses less digits than its factorization.

7778493828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The square root of 7778493828 is about 88195.7698985615. The cubic root of 7778493828 is about 1981.3681178167.

The spelling of 7778493828 in words is "seven billion, seven hundred seventy-eight million, four hundred ninety-three thousand, eight hundred twenty-eight".