777199420 has 96 divisors (see below), whose sum is σ = 1742368320. Its totient is φ = 290734080.

The previous prime is 777199411. The next prime is 777199429. The reversal of 777199420 is 24991777.

It is an interprime number because it is at equal distance from previous prime (777199411) and next prime (777199429).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (777199429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4026844 + ... + 4027036.

It is an arithmetic number, because the mean of its divisors is an integer number (18149670).

Almost surely, 2^777199420 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 777199420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871184160).

777199420 is an abundant number, since it is smaller than the sum of its proper divisors (965168900).

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

777199420 is a wasteful number, since it uses less digits than its factorization.

777199420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 46.

The square root of 777199420 is about 27878.2965763692. The cubic root of 777199420 is about 919.4133862802.

The spelling of 777199420 in words is "seven hundred seventy-seven million, one hundred ninety-nine thousand, four hundred twenty".