772269984 has 96 divisors (see below), whose sum is σ = 2258202240. Its totient is φ = 256766976.

The previous prime is 772269983. The next prime is 772269989. The reversal of 772269984 is 489962277.

772269984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 772269984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772269983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433704 + ... + 435480.

It is an arithmetic number, because the mean of its divisors is an integer number (23522940).

Almost surely, 2^772269984 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 772269984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129101120).

772269984 is an abundant number, since it is smaller than the sum of its proper divisors (1485932256).

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

772269984 is a wasteful number, since it uses less digits than its factorization.

772269984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2285 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 772269984 is about 27789.7460225890. The cubic root of 772269984 is about 917.4654498246.

The spelling of 772269984 in words is "seven hundred seventy-two million, two hundred sixty-nine thousand, nine hundred eighty-four".