707990400 has 576 divisors, whose sum is σ = 2854400640. Its totient is φ = 165888000.

The previous prime is 707990389. The next prime is 707990411. The reversal of 707990400 is 4099707.

It is an interprime number because it is at equal distance from previous prime (707990389) and next prime (707990411).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11606370 + ... + 11606430.

Almost surely, 2^707990400 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 707990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427200320).

707990400 is an abundant number, since it is smaller than the sum of its proper divisors (2146410240).

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

707990400 is a wasteful number, since it uses less digits than its factorization.

707990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 707990400 is about 26608.0889956419. The cubic root of 707990400 is about 891.2696603180.

It can be divided in two parts, 7079 and 90400, that added together give a palindrome (97479).

The spelling of 707990400 in words is "seven hundred seven million, nine hundred ninety thousand, four hundred".