7865642400 has 576 divisors, whose sum is σ = 32973889536. Its totient is φ = 1580544000.

The previous prime is 7865642387. The next prime is 7865642423. The reversal of 7865642400 is 42465687.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5728114 + ... + 5729486.

It is an arithmetic number, because the mean of its divisors is an integer number (57246336).

Almost surely, 2^7865642400 is an apocalyptic number.

7865642400 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 7865642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16486944768).

7865642400 is an abundant number, since it is smaller than the sum of its proper divisors (25108247136).

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

7865642400 is a wasteful number, since it uses less digits than its factorization.

7865642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 7865642400 is about 88688.4569715811. The cubic root of 7865642400 is about 1988.7402614378.

The spelling of 7865642400 in words is "seven billion, eight hundred sixty-five million, six hundred forty-two thousand, four hundred".