7641480 has 128 divisors (see below), whose sum is σ = 28615680. Its totient is φ = 1585920.

The previous prime is 7641479. The next prime is 7641493. The reversal of 7641480 is 841467.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8827 + ... + 9653.

It is an arithmetic number, because the mean of its divisors is an integer number (223560).

Almost surely, 2^7641480 is an apocalyptic number.

7641480 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 7641480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307840).

7641480 is an abundant number, since it is smaller than the sum of its proper divisors (20974200).

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

7641480 is a wasteful number, since it uses less digits than its factorization.

7641480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7641480 is about 2764.3227018566. The cubic root of 7641480 is about 196.9665570619.

The spelling of 7641480 in words is "seven million, six hundred forty-one thousand, four hundred eighty".