772269120 has 336 divisors, whose sum is σ = 3141390720. Its totient is φ = 174956544.

The previous prime is 772269119. The next prime is 772269139. The reversal of 772269120 is 21962277.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6834184 + ... + 6834296.

Almost surely, 2^772269120 is an apocalyptic number.

772269120 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 772269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570695360).

772269120 is an abundant number, since it is smaller than the sum of its proper divisors (2369121600).

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

772269120 is a wasteful number, since it uses less digits than its factorization.

772269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 772269120 is about 27789.7304772824. The cubic root of 772269120 is about 917.4651076773.

The spelling of 772269120 in words is "seven hundred seventy-two million, two hundred sixty-nine thousand, one hundred twenty".