7902896400 has 540 divisors, whose sum is σ = 32403443904. Its totient is φ = 1778112000.

The previous prime is 7902896387. The next prime is 7902896429. The reversal of 7902896400 is 46982097.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12524085 + ... + 12524715.

Almost surely, 2^7902896400 is an apocalyptic number.

7902896400 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 7902896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16201721952).

7902896400 is an abundant number, since it is smaller than the sum of its proper divisors (24500547504).

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

7902896400 is a wasteful number, since it uses less digits than its factorization.

7902896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7902896400 is about 88898.2362029754. The cubic root of 7902896400 is about 1991.8750707929.

The spelling of 7902896400 in words is "seven billion, nine hundred two million, eight hundred ninety-six thousand, four hundred".