776924480 has 168 divisors, whose sum is σ = 2036161536. Its totient is φ = 282009600.

The previous prime is 776924461. The next prime is 776924501. The reversal of 776924480 is 84429677.

776924480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×776924480² = 1207223295246540800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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, 2866745 + ... + 2867015.

Almost surely, 2^776924480 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 776924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018080768).

776924480 is an abundant number, since it is smaller than the sum of its proper divisors (1259237056).

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

776924480 is a wasteful number, since it uses less digits than its factorization.

776924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 776924480 is about 27873.3650641612. The cubic root of 776924480 is about 919.3049570818.

The spelling of 776924480 in words is "seven hundred seventy-six million, nine hundred twenty-four thousand, four hundred eighty".