7997270400 has 576 divisors, whose sum is σ = 34064226000. Its totient is φ = 1826979840.

The previous prime is 7997270399. The next prime is 7997270401. The reversal of 7997270400 is 40727997.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7997270399) and next prime (7997270401).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7997270401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4232656 + ... + 4234544.

Almost surely, 2^7997270400 is an apocalyptic number.

7997270400 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 7997270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17032113000).

7997270400 is an abundant number, since it is smaller than the sum of its proper divisors (26066955600).

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

7997270400 is a wasteful number, since it uses less digits than its factorization.

7997270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 7997270400 is about 89427.4588703045. The cubic root of 7997270400 is about 1999.7725074579.

The spelling of 7997270400 in words is "seven billion, nine hundred ninety-seven million, two hundred seventy thousand, four hundred".