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672779520 = 283657103
BaseRepresentation
bin101000000110011…
…100110100000000
31201212221202000000
4220012130310000
52334212421040
6150432000000
722446350220
oct5006346400
91655852000
10672779520
11315848236
12169390000
13a94cb5ba
14654d0080
153e0e7130
hex2819cd00

672779520 has 504 divisors, whose sum is σ = 2788146816. Its totient is φ = 152285184.

The previous prime is 672779519. The next prime is 672779521. The reversal of 672779520 is 25977276.

It is an interprime number because it is at equal distance from previous prime (672779519) and next prime (672779521).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672779521) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531789 + ... + 6531891.

Almost surely, 2672779520 is an apocalyptic number.

672779520 is a gapful number since it is divisible by the number (60) 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 672779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394073408).

672779520 is an abundant number, since it is smaller than the sum of its proper divisors (2115367296).

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

672779520 is an equidigital number, since it uses as much as digits as its factorization.

672779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 672779520 is about 25937.9937543365. The cubic root of 672779520 is about 876.2423799180.

The spelling of 672779520 in words is "six hundred seventy-two million, seven hundred seventy-nine thousand, five hundred twenty".