6776770000 has 400 divisors, whose sum is σ = 22061837952. Its totient is φ = 1946880000.

The previous prime is 6776769997. The next prime is 6776770001. The reversal of 6776770000 is 776776.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×6776770000² = 91849223265800000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6776770001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10009662 + ... + 10010338.

Almost surely, 2^6776770000 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 6776770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030918976).

6776770000 is an abundant number, since it is smaller than the sum of its proper divisors (15285067952).

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

6776770000 is a wasteful number, since it uses less digits than its factorization.

6776770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 40.

The square root of 6776770000 is about 82321.1394478964. The cubic root of 6776770000 is about 1892.3766560859.

It can be divided in two parts, 677 and 6770000, that multiplied together give a square (4583290000 = 67700²).

The spelling of 6776770000 in words is "six billion, seven hundred seventy-six million, seven hundred seventy thousand".