7620100 has 36 divisors (see below), whose sum is σ = 16666468. Its totient is φ = 3024000.

The previous prime is 7620049. The next prime is 7620101. The reversal of 7620100 is 10267.

It can be written as a sum of positive squares in 6 ways, for example, as 4227136 + 3392964 = 2056^2 + 1842^2 .

It is not an unprimeable number, because it can be changed into a prime (7620101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17890 + ... + 18310.

Almost surely, 2^7620100 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 7620100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8333234).

7620100 is an abundant number, since it is smaller than the sum of its proper divisors (9046368).

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

7620100 is a wasteful number, since it uses less digits than its factorization.

7620100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 7620100 is about 2760.4528613979. The cubic root of 7620100 is about 196.7826887300.

Adding to 7620100 its reverse (10267), we get a palindrome (7630367).

The spelling of 7620100 in words is "seven million, six hundred twenty thousand, one hundred".