7918772400 has 1080 divisors, whose sum is σ = 35889890400. Its totient is φ = 1614412800.

The previous prime is 7918772383. The next prime is 7918772473. The reversal of 7918772400 is 42778197.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 149410774 + ... + 149410826.

It is an arithmetic number, because the mean of its divisors is an integer number (33231380).

Almost surely, 2^7918772400 is an apocalyptic number.

7918772400 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 7918772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17944945200).

7918772400 is an abundant number, since it is smaller than the sum of its proper divisors (27971118000).

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

7918772400 is a wasteful number, since it uses less digits than its factorization.

7918772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 7918772400 is about 88987.4845132730. The cubic root of 7918772400 is about 1993.2079937694.

The spelling of 7918772400 in words is "seven billion, nine hundred eighteen million, seven hundred seventy-two thousand, four hundred".