772200000 has 672 divisors, whose sum is σ = 3333536640. Its totient is φ = 172800000.

The previous prime is 772199971. The next prime is 772200001. The reversal of 772200000 is 2277.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59399994 + ... + 59400006.

It is an arithmetic number, because the mean of its divisors is an integer number (4960620).

Almost surely, 2^772200000 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 772200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666768320).

772200000 is an abundant number, since it is smaller than the sum of its proper divisors (2561336640).

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

772200000 is a wasteful number, since it uses less digits than its factorization.

772200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 772200000 is about 27788.4868245826. The cubic root of 772200000 is about 917.4377350604.

Adding to 772200000 its reverse (2277), we get a palindrome (772202277).

The spelling of 772200000 in words is "seven hundred seventy-two million, two hundred thousand".