777404872860 has 1152 divisors, whose sum is σ = 3000030566400. Its totient is φ = 146711347200.

The previous prime is 777404872859. The next prime is 777404872861. The reversal of 777404872860 is 68278404777.

It is an interprime number because it is at equal distance from previous prime (777404872859) and next prime (777404872861).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 777404872794 and 777404872803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (777404872861) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2889980806 + ... + 2889981074.

It is an arithmetic number, because the mean of its divisors is an integer number (2604193200).

Almost surely, 2^777404872860 is an apocalyptic number.

777404872860 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 777404872860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500015283200).

777404872860 is an abundant number, since it is smaller than the sum of its proper divisors (2222625693540).

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

777404872860 is a wasteful number, since it uses less digits than its factorization.

777404872860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 29503488, while the sum is 60.

The spelling of 777404872860 in words is "seven hundred seventy-seven billion, four hundred four million, eight hundred seventy-two thousand, eight hundred sixty".