7401888 has 96 divisors (see below), whose sum is σ = 23284800. Its totient is φ = 2274048.

The previous prime is 7401871. The next prime is 7401899. The reversal of 7401888 is 8881047.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10903 + ... + 11561.

It is an arithmetic number, because the mean of its divisors is an integer number (242550).

Almost surely, 2^7401888 is an apocalyptic number.

7401888 is a gapful number since it is divisible by the number (78) 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 7401888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642400).

7401888 is an abundant number, since it is smaller than the sum of its proper divisors (15882912).

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

7401888 is a wasteful number, since it uses less digits than its factorization.

7401888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 7401888 is about 2720.6411009172. The cubic root of 7401888 is about 194.8860873150.

It can be divided in two parts, 740 and 1888, that added together give a triangular number (2628 = T₇₂).

The spelling of 7401888 in words is "seven million, four hundred one thousand, eight hundred eighty-eight".