152780400 has 270 divisors, whose sum is σ = 562484832. Its totient is φ = 38361600.

The previous prime is 152780399. The next prime is 152780401. The reversal of 152780400 is 4087251.

152780400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152780399) and next prime (152780401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152780401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4129182 + ... + 4129218.

Almost surely, 2^152780400 is an apocalyptic number.

152780400 is a gapful number since it is divisible by the number (10) 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 152780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281242416).

152780400 is an abundant number, since it is smaller than the sum of its proper divisors (409704432).

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

152780400 is a wasteful number, since it uses less digits than its factorization.

152780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 152780400 is about 12360.4368854826. The cubic root of 152780400 is about 534.5921134792.

The spelling of 152780400 in words is "one hundred fifty-two million, seven hundred eighty thousand, four hundred".