780270400 has 336 divisors, whose sum is σ = 2476341504. Its totient is φ = 235192320.

The previous prime is 780270391. The next prime is 780270401. The reversal of 780270400 is 4072087.

780270400 = 448² + 449² + ... + 1344².

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780270401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3348684 + ... + 3348916.

It is an arithmetic number, because the mean of its divisors is an integer number (7370064).

Almost surely, 2^780270400 is an apocalyptic number.

780270400 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 780270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238170752).

780270400 is an abundant number, since it is smaller than the sum of its proper divisors (1696071104).

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

780270400 is a wasteful number, since it uses less digits than its factorization.

780270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 780270400 is about 27933.3206046113. The cubic root of 780270400 is about 920.6227667472.

The spelling of 780270400 in words is "seven hundred eighty million, two hundred seventy thousand, four hundred".