7772950272 has 144 divisors (see below), whose sum is σ = 21498301440. Its totient is φ = 2490249216.

The previous prime is 7772950253. The next prime is 7772950277. The reversal of 7772950272 is 2720592777.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7772950277) 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, 5856873 + ... + 5858199.

It is an arithmetic number, because the mean of its divisors is an integer number (149293760).

Almost surely, 2^7772950272 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 7772950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749150720).

7772950272 is an abundant number, since it is smaller than the sum of its proper divisors (13725351168).

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

7772950272 is a wasteful number, since it uses less digits than its factorization.

7772950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 48.

The square root of 7772950272 is about 88164.3367354397. The cubic root of 7772950272 is about 1980.8973139267.

The spelling of 7772950272 in words is "seven billion, seven hundred seventy-two million, nine hundred fifty thousand, two hundred seventy-two".