7777770000 has 1200 divisors, whose sum is σ = 35240369472. Its totient is φ = 1451520000.

The previous prime is 7777769957. The next prime is 7777770067. The reversal of 7777770000 is 777777.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 210209982 + ... + 210210018.

Almost surely, 2^7777770000 is an apocalyptic number.

7777770000 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 7777770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17620184736).

7777770000 is an abundant number, since it is smaller than the sum of its proper divisors (27462599472).

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

7777770000 is a wasteful number, since it uses less digits than its factorization.

7777770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 117649, while the sum is 42.

The square root of 7777770000 is about 88191.6662729535. Note that the first 3 decimals coincide. The cubic root of 7777770000 is about 1981.3066571517.

7777770000 divided by its reverse (777777) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 7777 and 770000, that added together give a palindrome (777777).

The spelling of 7777770000 in words is "seven billion, seven hundred seventy-seven million, seven hundred seventy thousand".