776825280 has 672 divisors, whose sum is σ = 3469160448. Its totient is φ = 154828800.

The previous prime is 776825267. The next prime is 776825281. The reversal of 776825280 is 82528677.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776825281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6874504 + ... + 6874616.

Almost surely, 2^776825280 is an apocalyptic number.

776825280 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 776825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734580224).

776825280 is an abundant number, since it is smaller than the sum of its proper divisors (2692335168).

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

776825280 is a wasteful number, since it uses less digits than its factorization.

776825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 776825280 is about 27871.5855307874. The cubic root of 776825280 is about 919.2658288972.

The spelling of 776825280 in words is "seven hundred seventy-six million, eight hundred twenty-five thousand, two hundred eighty".