780776010 has 192 divisors, whose sum is σ = 2428538112. Its totient is φ = 176795136.

The previous prime is 780775999. The next prime is 780776011. The reversal of 780776010 is 10677087.

It is a super-2 number, since 2×780776010² = 1219222355583040200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (780776011) 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, 3350854 + ... + 3351086.

It is an arithmetic number, because the mean of its divisors is an integer number (12648636).

Almost surely, 2^780776010 is an apocalyptic number.

780776010 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 780776010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214269056).

780776010 is an abundant number, since it is smaller than the sum of its proper divisors (1647762102).

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

780776010 is a wasteful number, since it uses less digits than its factorization.

780776010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 780776010 is about 27942.3694414056. The cubic root of 780776010 is about 920.8215762759.

The spelling of 780776010 in words is "seven hundred eighty million, seven hundred seventy-six thousand, ten".