840780000 has 360 divisors, whose sum is σ = 3116321208. Its totient is φ = 222912000.

The previous prime is 840779987. The next prime is 840780013. The reversal of 840780000 is 87048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (840779987) and next prime (840780013).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×840780000² = 1413822016800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4859914 + ... + 4860086.

Almost surely, 2^840780000 is an apocalyptic number.

840780000 is a gapful number since it is divisible by the number (80) 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 840780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558160604).

840780000 is an abundant number, since it is smaller than the sum of its proper divisors (2275541208).

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

840780000 is an equidigital number, since it uses as much as digits as its factorization.

840780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 840780000 is about 28996.2066484566. The cubic root of 840780000 is about 943.8307534368.

The spelling of 840780000 in words is "eight hundred forty million, seven hundred eighty thousand".