707778 has 40 divisors (see below), whose sum is σ = 1685772. Its totient is φ = 221184.

The previous prime is 707767. The next prime is 707789. The reversal of 707778 is 877707.

It is an interprime number because it is at equal distance from previous prime (707767) and next prime (707789).

It can be written as a sum of positive squares in 2 ways, for example, as 558009 + 149769 = 747^2 + 387^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

707778 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2626 + ... + 2882.

2⁷⁰⁷⁷⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 707778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842886).

707778 is an abundant number, since it is smaller than the sum of its proper divisors (977994).

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

707778 is a wasteful number, since it uses less digits than its factorization.

707778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The square root of 707778 is about 841.2954296797. The cubic root of 707778 is about 89.1180523229.

It can be divided in two parts, 707 and 778, that added together give a triangular number (1485 = T₅₄).

The spelling of 707778 in words is "seven hundred seven thousand, seven hundred seventy-eight".