30275078400 has 972 divisors, whose sum is σ = 129701545792. Its totient is φ = 6852833280.

The previous prime is 30275078387. The next prime is 30275078419. The reversal of 30275078400 is 487057203.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×30275078400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293932749 + ... + 293932851.

Almost surely, 2^30275078400 is an apocalyptic number.

30275078400 is a gapful number since it is divisible by the number (30) 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 30275078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64850772896).

30275078400 is an abundant number, since it is smaller than the sum of its proper divisors (99426467392).

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

30275078400 is an frugal number, since it uses more digits than its factorization.

30275078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 30275078400 in words is "thirty billion, two hundred seventy-five million, seventy-eight thousand, four hundred".