7776381600 has 432 divisors, whose sum is σ = 29738034144. Its totient is φ = 1900800000.

The previous prime is 7776381583. The next prime is 7776381623. The reversal of 7776381600 is 61836777.

It is a happy number.

7776381600 is a `hidden beast` number, since 7 + 7 + 7 + 6 + 38 + 1 + 600 = 666.

It is a super-2 number, since 2×7776381600² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23493435 + ... + 23493765.

It is an arithmetic number, because the mean of its divisors is an integer number (68838042).

Almost surely, 2^7776381600 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 7776381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869017072).

7776381600 is an abundant number, since it is smaller than the sum of its proper divisors (21961652544).

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

7776381600 is a wasteful number, since it uses less digits than its factorization.

7776381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 7776381600 is about 88183.7944295889. The cubic root of 7776381600 is about 1981.1887566111.

It can be divided in two parts, 7776 and 381600, that added together give a square (389376 = 624²).

The spelling of 7776381600 in words is "seven billion, seven hundred seventy-six million, three hundred eighty-one thousand, six hundred".