776097280 has 240 divisors, whose sum is σ = 2267131680. Its totient is φ = 253575168.

The previous prime is 776097251. The next prime is 776097293. The reversal of 776097280 is 82790677.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 776097280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2884986 + ... + 2885254.

It is an arithmetic number, because the mean of its divisors is an integer number (9446382).

Almost surely, 2^776097280 is an apocalyptic number.

776097280 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 776097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133565840).

776097280 is an abundant number, since it is smaller than the sum of its proper divisors (1491034400).

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

776097280 is a wasteful number, since it uses less digits than its factorization.

776097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The square root of 776097280 is about 27858.5225738911. The cubic root of 776097280 is about 918.9785765365.

The spelling of 776097280 in words is "seven hundred seventy-six million, ninety-seven thousand, two hundred eighty".