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7620480 = 2735572

7620480 has 288 divisors, whose sum is σ = 31744440. Its totient is φ = 1741824.

The previous prime is 7620469. The next prime is 7620491. The reversal of 7620480 is 840267.

It is an interprime number because it is at equal distance from previous prime (7620469) and next prime (7620491).

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 1088637 + ... + 1088643.

Almost surely, 27620480 is an apocalyptic number.

7620480 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 7620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220).

7620480 is an abundant number, since it is smaller than the sum of its proper divisors (24123960).

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

7620480 is an equidigital number, since it uses as much as digits as its factorization.

7620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7620480 is about 2760.5216898260. The cubic root of 7620480 is about 196.7859597360.

It can be divided in two parts, 7620 and 480, that added together give a square (8100 = 902).

The spelling of 7620480 in words is "seven million, six hundred twenty thousand, four hundred eighty".