776086272 has 180 divisors, whose sum is σ = 2493025920. Its totient is φ = 238712832.

The previous prime is 776086247. The next prime is 776086273. The reversal of 776086272 is 272680677.

It is a happy number.

It is a super-3 number, since 3×776086272³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (776086273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 268129 + ... + 271007.

It is an arithmetic number, because the mean of its divisors is an integer number (13850144).

Almost surely, 2^776086272 is an apocalyptic number.

776086272 is a gapful number since it is divisible by the number (72) 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 776086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246512960).

776086272 is an abundant number, since it is smaller than the sum of its proper divisors (1716939648).

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

776086272 is a wasteful number, since it uses less digits than its factorization.

776086272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 776086272 is about 27858.3250034886. The cubic root of 776086272 is about 918.9742316499.

The spelling of 776086272 in words is "seven hundred seventy-six million, eighty-six thousand, two hundred seventy-two".