778003380 has 486 divisors, whose sum is σ = 3133394082. Its totient is φ = 161663040.

The previous prime is 778003357. The next prime is 778003381. The reversal of 778003380 is 83300877.

It can be written as a sum of positive squares in only one way, i.e., 622402704 + 155600676 = 24948^2 + 12474^2 .

It is a tau number, because it is divible by the number of its divisors (486).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778003381) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 70727575 + ... + 70727585.

Almost surely, 2^778003380 is an apocalyptic number.

778003380 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 778003380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566697041).

778003380 is an abundant number, since it is smaller than the sum of its proper divisors (2355390702).

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

778003380 is a wasteful number, since it uses less digits than its factorization.

778003380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 778003380 is about 27892.7119513324. The cubic root of 778003380 is about 919.7303005921.

The spelling of 778003380 in words is "seven hundred seventy-eight million, three thousand, three hundred eighty".