97880400 has 360 divisors, whose sum is σ = 377788320. Its totient is φ = 24261120.

The previous prime is 97880389. The next prime is 97880411. The reversal of 97880400 is 408879.

It is an interprime number because it is at equal distance from previous prime (97880389) and next prime (97880411).

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1846774 + ... + 1846826.

It is an arithmetic number, because the mean of its divisors is an integer number (1049412).

Almost surely, 2^97880400 is an apocalyptic number.

97880400 is a gapful number since it is divisible by the number (90) 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 97880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894160).

97880400 is an abundant number, since it is smaller than the sum of its proper divisors (279907920).

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

97880400 is a wasteful number, since it uses less digits than its factorization.

97880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 97880400 is about 9893.4523802361. The cubic root of 97880400 is about 460.8559990538.

The spelling of 97880400 in words is "ninety-seven million, eight hundred eighty thousand, four hundred".