778248000 has 280 divisors, whose sum is σ = 2881496904. Its totient is φ = 207360000.

The previous prime is 778247993. The next prime is 778248007. The reversal of 778248000 is 842877.

It is an interprime number because it is at equal distance from previous prime (778247993) and next prime (778248007).

It can be written as a sum of positive squares in 4 ways, for example, as 237406464 + 540841536 = 15408^2 + 23256^2 .

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 (778248007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647400 + ... + 648600.

Almost surely, 2^778248000 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 778248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440748452).

778248000 is an abundant number, since it is smaller than the sum of its proper divisors (2103248904).

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

778248000 is a wasteful number, since it uses less digits than its factorization.

778248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 778248000 is about 27897.0966231255. The cubic root of 778248000 is about 919.8266844280.

The spelling of 778248000 in words is "seven hundred seventy-eight million, two hundred forty-eight thousand".