697976400 has 480 divisors, whose sum is σ = 2701255680. Its totient is φ = 153331200.

The previous prime is 697976393. The next prime is 697976413. The reversal of 697976400 is 4679796.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 697976400.

It is a congruent number.

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, 30346789 + ... + 30346811.

It is an arithmetic number, because the mean of its divisors is an integer number (5627616).

Almost surely, 2^697976400 is an apocalyptic number.

697976400 is a gapful number since it is divisible by the number (60) 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 697976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350627840).

697976400 is an abundant number, since it is smaller than the sum of its proper divisors (2003279280).

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

697976400 is a wasteful number, since it uses less digits than its factorization.

697976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 697976400 is about 26419.2429868836. The cubic root of 697976400 is about 887.0475747338.

It can be divided in two parts, 69 and 7976400, that multiplied together give a square (550371600 = 23460²).

The spelling of 697976400 in words is "six hundred ninety-seven million, nine hundred seventy-six thousand, four hundred".