7538700 has 72 divisors (see below), whose sum is σ = 23501968. Its totient is φ = 1854720.

The previous prime is 7538693. The next prime is 7538719. The reversal of 7538700 is 78357.

7538700 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2934 + ... + 4866.

Almost surely, 2^7538700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7538700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750984).

7538700 is an abundant number, since it is smaller than the sum of its proper divisors (15963268).

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

7538700 is a wasteful number, since it uses less digits than its factorization.

7538700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 7538700 is about 2745.6693173068. The cubic root of 7538700 is about 196.0794832427.

It can be divided in two parts, 753 and 8700, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 7538700 in words is "seven million, five hundred thirty-eight thousand, seven hundred".