7700074000 has 80 divisors (see below), whose sum is σ = 18800046720. Its totient is φ = 3050044800.

The previous prime is 7700073971. The next prime is 7700074009. The reversal of 7700074000 is 4700077.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7700074000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (7700074009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 187311 + ... + 224689.

It is an arithmetic number, because the mean of its divisors is an integer number (235000584).

Almost surely, 2^7700074000 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 7700074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400023360).

7700074000 is an abundant number, since it is smaller than the sum of its proper divisors (11099972720).

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

7700074000 is a wasteful number, since it uses less digits than its factorization.

7700074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37505 (or 37489 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 25.

The square root of 7700074000 is about 87750.0655270411. The cubic root of 7700074000 is about 1974.6871480095.

Adding to 7700074000 its reverse (4700077), we get a palindrome (7704774077).

The spelling of 7700074000 in words is "seven billion, seven hundred million, seventy-four thousand".