7778689632 has 288 divisors, whose sum is σ = 27247933440. Its totient is φ = 2150426880.

The previous prime is 7778689627. The next prime is 7778689649. The reversal of 7778689632 is 2369868777.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7778689632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309453 + ... + 1315379.

It is an arithmetic number, because the mean of its divisors is an integer number (94610880).

Almost surely, 2^7778689632 is an apocalyptic number.

7778689632 is a gapful number since it is divisible by the number (72) 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 7778689632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623966720).

7778689632 is an abundant number, since it is smaller than the sum of its proper divisors (19469243808).

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

7778689632 is a wasteful number, since it uses less digits than its factorization.

7778689632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5970 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The square root of 7778689632 is about 88196.8799448144. The cubic root of 7778689632 is about 1981.3847429953.

The spelling of 7778689632 in words is "seven billion, seven hundred seventy-eight million, six hundred eighty-nine thousand, six hundred thirty-two".