7207600400 has 480 divisors, whose sum is σ = 23806476288. Its totient is φ = 2024294400.

The previous prime is 7207600369. The next prime is 7207600427. The reversal of 7207600400 is 40067027.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 7207600400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18818609 + ... + 18818991.

Almost surely, 2^7207600400 is an apocalyptic number.

7207600400 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 7207600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903238144).

7207600400 is an abundant number, since it is smaller than the sum of its proper divisors (16598875888).

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

7207600400 is a wasteful number, since it uses less digits than its factorization.

7207600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 7207600400 is about 84897.5877160241. The cubic root of 7207600400 is about 1931.6579844863.

Adding to 7207600400 its reverse (40067027), we get a palindrome (7247667427).

The spelling of 7207600400 in words is "seven billion, two hundred seven million, six hundred thousand, four hundred".